461601513613665 has 192 divisors, whose sum is σ = 838132091596800. Its totient is φ = 234718302873600.

The previous prime is 461601513613637. The next prime is 461601513613727. The reversal of 461601513613665 is 566316315106164.

461601513613665 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 0 + 1 + 5 + 13 + 613 + 6 + 6 + 5 = 666.

It is not a de Polignac number, because 461601513613665 - 2⁵ = 461601513613633 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59738771032 + ... + 59738778758.

It is an arithmetic number, because the mean of its divisors is an integer number (4365271310400).

Almost surely, 2^{461601513613665} is an apocalyptic number.

461601513613665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461601513613665 is a deficient number, since it is larger than the sum of its proper divisors (376530577983135).

461601513613665 is a wasteful number, since it uses less digits than its factorization.

461601513613665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 461601513613665 in words is "four hundred sixty-one trillion, six hundred one billion, five hundred thirteen million, six hundred thirteen thousand, six hundred sixty-five".