46617165504 has 756 divisors, whose sum is σ = 173869081776. Its totient is φ = 11684155392.

The previous prime is 46617165479. The next prime is 46617165521. The reversal of 46617165504 is 40556171664.

It is a self number, because there is not a number n which added to its sum of digits gives 46617165504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1084120107 + ... + 1084120149.

Almost surely, 2^46617165504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46617165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86934540888).

46617165504 is an abundant number, since it is smaller than the sum of its proper divisors (127251916272).

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

46617165504 is a wasteful number, since it uses less digits than its factorization.

46617165504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 46617165504 in words is "forty-six billion, six hundred seventeen million, one hundred sixty-five thousand, five hundred four".