46133433164 has 72 divisors (see below), whose sum is σ = 102853230480. Its totient is φ = 17941198464.

The previous prime is 46133433119. The next prime is 46133433173.

46133433164 is nontrivially palindromic in base 10.

46133433164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3107 + ... + 303770.

It is an arithmetic number, because the mean of its divisors is an integer number (1428517090).

Almost surely, 2^46133433164 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 46133433164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51426615240).

46133433164 is an abundant number, since it is smaller than the sum of its proper divisors (56719797316).

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

46133433164 is a wasteful number, since it uses less digits than its factorization.

46133433164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306967 (or 306958 counting only the distinct ones).

The product of its digits is 186624, while the sum is 38.

The spelling of 46133433164 in words is "forty-six billion, one hundred thirty-three million, four hundred thirty-three thousand, one hundred sixty-four".