46313111131364 has 96 divisors (see below), whose sum is σ = 104625439430400. Its totient is φ = 17406146741760.

The previous prime is 46313111131363. The next prime is 46313111131367.

46313111131364 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (46313111131363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7567862 + ... + 12243314.

It is an arithmetic number, because the mean of its divisors is an integer number (1089848327400).

Almost surely, 2^{46313111131364} is an apocalyptic number.

46313111131364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46313111131364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52312719715200).

46313111131364 is an abundant number, since it is smaller than the sum of its proper divisors (58312328299036).

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

46313111131364 is a wasteful number, since it uses less digits than its factorization.

46313111131364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676613 (or 4676611 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

It can be divided in two parts, 4631311 and 1131364, that added together give a palindrome (5762675).

The spelling of 46313111131364 in words is "forty-six trillion, three hundred thirteen billion, one hundred eleven million, one hundred thirty-one thousand, three hundred sixty-four".