46824642864 has 80 divisors (see below), whose sum is σ = 134889625440. Its totient is φ = 15551827200.

The previous prime is 46824642841. The next prime is 46824642877.

46824642864 is a `hidden beast` number, since 46 + 82 + 46 + 428 + 64 = 666.

46824642864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46824642864² (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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46824642864.

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, 75987 + ... + 315314.

It is an arithmetic number, because the mean of its divisors is an integer number (1686120318).

Almost surely, 2^46824642864 is an apocalyptic number.

It is an amenable number.

46824642864 is an abundant number, since it is smaller than the sum of its proper divisors (88064982576).

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

46824642864 is a wasteful number, since it uses less digits than its factorization.

46824642864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391595 (or 391583 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 46824642864 in words is "forty-six billion, eight hundred twenty-four million, six hundred forty-two thousand, eight hundred sixty-four".