46555164864 has 336 divisors, whose sum is σ = 147032776800. Its totient is φ = 13996523520.

The previous prime is 46555164857. The next prime is 46555164899. The reversal of 46555164864 is 46846155564.

46555164864 is a `hidden beast` number, since 4 + 6 + 5 + 551 + 6 + 4 + 86 + 4 = 666.

46555164864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (13824000) is a multiple of the sum of its prime factors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 46555164864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103686112 + ... + 103686560.

It is an arithmetic number, because the mean of its divisors is an integer number (437597550).

Almost surely, 2^46555164864 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 46555164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73516388400).

46555164864 is an abundant number, since it is smaller than the sum of its proper divisors (100477611936).

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

46555164864 is a wasteful number, since it uses less digits than its factorization.

46555164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 46555164864 in words is "forty-six billion, five hundred fifty-five million, one hundred sixty-four thousand, eight hundred sixty-four".