46842624864 has 144 divisors (see below), whose sum is σ = 158930478000. Its totient is φ = 13383595008.

The previous prime is 46842624841. The next prime is 46842624877.

46842624864 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 2 + 624 + 8 + 6 + 4 = 666.

46842624864 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

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 46842624864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510889 + ... + 595560.

It is an arithmetic number, because the mean of its divisors is an integer number (1103683875).

Almost surely, 2^46842624864 is an apocalyptic number.

It is an amenable number.

46842624864 is an abundant number, since it is smaller than the sum of its proper divisors (112087853136).

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

46842624864 is a wasteful number, since it uses less digits than its factorization.

46842624864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106482 (or 1106461 counting only the distinct ones).

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

The spelling of 46842624864 in words is "forty-six billion, eight hundred forty-two million, six hundred twenty-four thousand, eight hundred sixty-four".