45025388352 has 336 divisors, whose sum is σ = 161960722560. Its totient is φ = 12107169792.

The previous prime is 45025388321. The next prime is 45025388357. The reversal of 45025388352 is 25388352054.

45025388352 is a `hidden beast` number, since 45 + 0 + 253 + 8 + 8 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 45025388298 and 45025388307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45025388357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1838524 + ... + 1862852.

It is an arithmetic number, because the mean of its divisors is an integer number (482025960).

Almost surely, 2^45025388352 is an apocalyptic number.

45025388352 is a gapful number since it is divisible by the number (42) 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 45025388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80980361280).

45025388352 is an abundant number, since it is smaller than the sum of its proper divisors (116935334208).

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

45025388352 is a wasteful number, since it uses less digits than its factorization.

45025388352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24380 (or 24358 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 45025388352 in words is "forty-five billion, twenty-five million, three hundred eighty-eight thousand, three hundred fifty-two".