46442611624464 has 80 divisors (see below), whose sum is σ = 145426359647040. Its totient is φ = 14073518672640.

The previous prime is 46442611624439. The next prime is 46442611624481.

46442611624464 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 2 + 6 + 1 + 1 + 624 + 4 + 6 + 4 = 666.

46442611624464 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 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 46442611624464.

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, 4886633677 + ... + 4886643180.

It is an arithmetic number, because the mean of its divisors is an integer number (1817829495588).

Almost surely, 2^{46442611624464} is an apocalyptic number.

46442611624464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46442611624464 is an abundant number, since it is smaller than the sum of its proper divisors (98983748022576).

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

46442611624464 is a wasteful number, since it uses less digits than its factorization.

46442611624464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9773276885 (or 9773276873 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 46442611624464 in words is "forty-six trillion, four hundred forty-two billion, six hundred eleven million, six hundred twenty-four thousand, four hundred sixty-four".