45625835520 has 476 divisors, whose sum is σ = 165036214656. Its totient is φ = 12103188480.

The previous prime is 45625835491. The next prime is 45625835533. The reversal of 45625835520 is 2553852654.

45625835520 is a `hidden beast` number, since 4 + 5 + 62 + 583 + 5 + 5 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 238878625 + ... + 238878815.

Almost surely, 2^45625835520 is an apocalyptic number.

45625835520 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 45625835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82518107328).

45625835520 is an abundant number, since it is smaller than the sum of its proper divisors (119410379136).

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

45625835520 is an frugal number, since it uses more digits than its factorization.

45625835520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 45625835520 in words is "forty-five billion, six hundred twenty-five million, eight hundred thirty-five thousand, five hundred twenty".