46501410564 has 144 divisors (see below), whose sum is σ = 147144816000. Its totient is φ = 12073356288.

The previous prime is 46501410563. The next prime is 46501410601.

46501410564 is a `hidden beast` number, since 4 + 6 + 50 + 1 + 41 + 0 + 564 = 666.

46501410564 is nontrivially palindromic in base 10.

46501410564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46501410563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62914 + ... + 311385.

It is an arithmetic number, because the mean of its divisors is an integer number (1021839000).

Almost surely, 2^46501410564 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 46501410564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73572408000).

46501410564 is an abundant number, since it is smaller than the sum of its proper divisors (100643405436).

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

46501410564 is a wasteful number, since it uses less digits than its factorization.

46501410564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374362 (or 374357 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 46501410564 in words is "forty-six billion, five hundred one million, four hundred ten thousand, five hundred sixty-four".