46217071264 has 96 divisors (see below), whose sum is σ = 114273331200. Its totient is φ = 18283620096.

The previous prime is 46217071249. The next prime is 46217071297.

46217071264 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19264 + ... + 304639.

It is an arithmetic number, because the mean of its divisors is an integer number (1190347200).

Almost surely, 2^46217071264 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 46217071264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57136665600).

46217071264 is an abundant number, since it is smaller than the sum of its proper divisors (68056259936).

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

46217071264 is a wasteful number, since it uses less digits than its factorization.

46217071264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323947 (or 323925 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 46217071264 in words is "forty-six billion, two hundred seventeen million, seventy-one thousand, two hundred sixty-four".