45934825248000 has 4320 divisors, whose sum is σ = 201480745546080. Its totient is φ = 10323807436800.

The previous prime is 45934825247963. The next prime is 45934825248007. The reversal of 45934825248000 is 84252843954.

45934825248000 is a `hidden beast` number, since 4 + 5 + 9 + 34 + 8 + 2 + 524 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 44707303067904 + 1227522180096 = 6686352^2 + 1107936^2 .

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×45934825248000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45934825248007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 516121631956 + ... + 516121632044.

It is an arithmetic number, because the mean of its divisors is an integer number (46639061469).

Almost surely, 2^{45934825248000} is an apocalyptic number.

45934825248000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45934825248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100740372773040).

45934825248000 is an abundant number, since it is smaller than the sum of its proper divisors (155545920298080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45934825248000 is a wasteful number, since it uses less digits than its factorization.

45934825248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 45934825248000 in words is "forty-five trillion, nine hundred thirty-four billion, eight hundred twenty-five million, two hundred forty-eight thousand".