46460806464 has 112 divisors (see below), whose sum is σ = 128390904000. Its totient is φ = 14812839936.

The previous prime is 46460806451. The next prime is 46460806477.

46460806464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46460806451) and next prime (46460806477).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 363712 + ... + 474560.

Almost surely, 2^46460806464 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 46460806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64195452000).

46460806464 is an abundant number, since it is smaller than the sum of its proper divisors (81930097536).

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

46460806464 is a wasteful number, since it uses less digits than its factorization.

46460806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110960 (or 110950 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 46460806464 in words is "forty-six billion, four hundred sixty million, eight hundred six thousand, four hundred sixty-four".