46154513664 has 288 divisors, whose sum is σ = 165163703040. Its totient is φ = 12411076608.

The previous prime is 46154513659. The next prime is 46154513719. The reversal of 46154513664 is 46631545164.

46154513664 is a `hidden beast` number, since 46 + 1 + 545 + 1 + 3 + 6 + 64 = 666.

46154513664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794472 + ... + 850584.

It is an arithmetic number, because the mean of its divisors is an integer number (573485080).

Almost surely, 2^46154513664 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 46154513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82581851520).

46154513664 is an abundant number, since it is smaller than the sum of its proper divisors (119009189376).

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

46154513664 is a wasteful number, since it uses less digits than its factorization.

46154513664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56162 (or 56142 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 46154513664 in words is "forty-six billion, one hundred fifty-four million, five hundred thirteen thousand, six hundred sixty-four".