46690409664 has 112 divisors (see below), whose sum is σ = 137432125440. Its totient is φ = 15544085760.

The previous prime is 46690409659. The next prime is 46690409693.

46690409664 is a `hidden beast` number, since 466 + 90 + 4 + 0 + 96 + 6 + 4 = 666.

46690409664 is nontrivially palindromic in base 10.

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 46690409664.

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, 1405729 + ... + 1438559.

Almost surely, 2^46690409664 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 46690409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68716062720).

46690409664 is an abundant number, since it is smaller than the sum of its proper divisors (90741715776).

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

46690409664 is a wasteful number, since it uses less digits than its factorization.

46690409664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33675 (or 33659 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 46690409664 in words is "forty-six billion, six hundred ninety million, four hundred nine thousand, six hundred sixty-four".