46655100155664 has 960 divisors, whose sum is σ = 184636974977280. Its totient is φ = 11086965227520.

The previous prime is 46655100155659. The next prime is 46655100155743.

46655100155664 is a `hidden beast` number, since 4 + 6 + 6 + 5 + 510 + 0 + 15 + 56 + 64 = 666.

46655100155664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46655100155664.

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, 341985514 + ... + 342121910.

It is an arithmetic number, because the mean of its divisors is an integer number (192330182268).

Almost surely, 2^{46655100155664} is an apocalyptic number.

46655100155664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46655100155664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92318487488640).

46655100155664 is an abundant number, since it is smaller than the sum of its proper divisors (137981874821616).

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

46655100155664 is a wasteful number, since it uses less digits than its factorization.

46655100155664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136565 (or 136546 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 46655100155664 in words is "forty-six trillion, six hundred fifty-five billion, one hundred million, one hundred fifty-five thousand, six hundred sixty-four".