45952266240 has 468 divisors, whose sum is σ = 164352677112. Its totient is φ = 11873157120.

The previous prime is 45952266203. The next prime is 45952266247. The reversal of 45952266240 is 4266225954.

45952266240 is a `hidden beast` number, since 45 + 9 + 522 + 66 + 24 + 0 = 666.

It is a super-2 number, since 2×45952266240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45952266247) 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 35 ways as a sum of consecutive naturals, for example, 685854687 + ... + 685854753.

It is an arithmetic number, because the mean of its divisors is an integer number (351180934).

Almost surely, 2^45952266240 is an apocalyptic number.

45952266240 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 45952266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82176338556).

45952266240 is an abundant number, since it is smaller than the sum of its proper divisors (118400410872).

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

45952266240 is an equidigital number, since it uses as much as digits as its factorization.

45952266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 45952266240 in words is "forty-five billion, nine hundred fifty-two million, two hundred sixty-six thousand, two hundred forty".