481657405135635 has 96 divisors (see below), whose sum is σ = 876267387515520. Its totient is φ = 244278018902016.

The previous prime is 481657405135567. The next prime is 481657405135661. The reversal of 481657405135635 is 536531504756184.

481657405135635 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 57 + 4 + 0 + 5 + 13 + 563 + 5 = 666.

It is not a de Polignac number, because 481657405135635 - 2³² = 481653110168339 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2859961311 + ... + 2860129719.

It is an arithmetic number, because the mean of its divisors is an integer number (9127785286620).

Almost surely, 2^{481657405135635} is an apocalyptic number.

481657405135635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

481657405135635 is a deficient number, since it is larger than the sum of its proper divisors (394609982379885).

481657405135635 is a wasteful number, since it uses less digits than its factorization.

481657405135635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184589 (or 184586 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 481657405135635 in words is "four hundred eighty-one trillion, six hundred fifty-seven billion, four hundred five million, one hundred thirty-five thousand, six hundred thirty-five".