45980635725 has 72 divisors (see below), whose sum is σ = 86069580480. Its totient is φ = 23420643840.

The previous prime is 45980635711. The next prime is 45980635751. The reversal of 45980635725 is 52753608954.

45980635725 is a `hidden beast` number, since 4 + 5 + 9 + 8 + 0 + 63 + 572 + 5 = 666.

It is not a de Polignac number, because 45980635725 - 2⁸ = 45980635469 is a prime.

It is a super-2 number, since 2×45980635725² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3528021 + ... + 3541029.

It is an arithmetic number, because the mean of its divisors is an integer number (1195410840).

Almost surely, 2^45980635725 is an apocalyptic number.

45980635725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45980635725 is a deficient number, since it is larger than the sum of its proper divisors (40088944755).

45980635725 is a wasteful number, since it uses less digits than its factorization.

45980635725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 45980635725 in words is "forty-five billion, nine hundred eighty million, six hundred thirty-five thousand, seven hundred twenty-five".