46276467264 has 112 divisors (see below), whose sum is σ = 137116108800. Its totient is φ = 15303955968.

The previous prime is 46276467253. The next prime is 46276467283.

46276467264 is a `hidden beast` number, since 4 + 627 + 6 + 4 + 6 + 7 + 2 + 6 + 4 = 666.

46276467264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46276467264² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46276467264.

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, 114022 + ... + 324890.

Almost surely, 2^46276467264 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 46276467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68558054400).

46276467264 is an abundant number, since it is smaller than the sum of its proper divisors (90839641536).

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

46276467264 is a wasteful number, since it uses less digits than its factorization.

46276467264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211017 (or 211001 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 46276467264 in words is "forty-six billion, two hundred seventy-six million, four hundred sixty-seven thousand, two hundred sixty-four".