46564669138176 has 864 divisors, whose sum is σ = 173271207782400. Its totient is φ = 12169288212480.

The previous prime is 46564669138159. The next prime is 46564669138331. The reversal of 46564669138176 is 67183196646564.

46564669138176 is a `hidden beast` number, since 4 + 6 + 5 + 6 + 466 + 9 + 13 + 81 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 239839221 + ... + 240033291.

Almost surely, 2^{46564669138176} 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 46564669138176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86635603891200).

46564669138176 is an abundant number, since it is smaller than the sum of its proper divisors (126706538644224).

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

46564669138176 is a wasteful number, since it uses less digits than its factorization.

46564669138176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194157 (or 194131 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 46564669138176 in words is "forty-six trillion, five hundred sixty-four billion, six hundred sixty-nine million, one hundred thirty-eight thousand, one hundred seventy-six".