46331444413364 has 144 divisors (see below), whose sum is σ = 94239248463360. Its totient is φ = 19875129331200.

The previous prime is 46331444413327. The next prime is 46331444413367.

46331444413364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46331444413364² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46331444413367) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1302415082 + ... + 1302450654.

It is an arithmetic number, because the mean of its divisors is an integer number (654439225440).

Almost surely, 2^{46331444413364} is an apocalyptic number.

46331444413364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46331444413364 is an abundant number, since it is smaller than the sum of its proper divisors (47907804049996).

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

46331444413364 is a wasteful number, since it uses less digits than its factorization.

46331444413364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37182 (or 37169 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 50.

The spelling of 46331444413364 in words is "forty-six trillion, three hundred thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, three hundred sixty-four".