45456035625 has 720 divisors, whose sum is σ = 119863231488. Its totient is φ = 16679520000.

The previous prime is 45456035609. The next prime is 45456035657. The reversal of 45456035625 is 52653065454.

45456035625 is a `hidden beast` number, since 4 + 54 + 560 + 35 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 45456035625 - 2⁴ = 45456035609 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1976349364 + ... + 1976349386.

Almost surely, 2^45456035625 is an apocalyptic number.

45456035625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45456035625 is an abundant number, since it is smaller than the sum of its proper divisors (74407195863).

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

45456035625 is a wasteful number, since it uses less digits than its factorization.

45456035625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 45456035625 in words is "forty-five billion, four hundred fifty-six million, thirty-five thousand, six hundred twenty-five".