46628344382664 has 32 divisors (see below), whose sum is σ = 127168211953440. Its totient is φ = 14129801328000.

The previous prime is 46628344382651. The next prime is 46628344382707.

It is a happy number.

46628344382664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46628344382595 and 46628344382604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88311258037 + ... + 88311258564.

It is an arithmetic number, because the mean of its divisors is an integer number (3974006623545).

Almost surely, 2^{46628344382664} is an apocalyptic number.

46628344382664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46628344382664 is an abundant number, since it is smaller than the sum of its proper divisors (80539867570776).

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

46628344382664 is a wasteful number, since it uses less digits than its factorization.

46628344382664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176622516621 (or 176622516617 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 66.

The spelling of 46628344382664 in words is "forty-six trillion, six hundred twenty-eight billion, three hundred forty-four million, three hundred eighty-two thousand, six hundred sixty-four".