46244311344264 has 32 divisors (see below), whose sum is σ = 126120849121440. Its totient is φ = 14013427680000.

The previous prime is 46244311344241. The next prime is 46244311344281.

46244311344264 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87583922737 + ... + 87583923264.

It is an arithmetic number, because the mean of its divisors is an integer number (3941276535045).

Almost surely, 2^{46244311344264} is an apocalyptic number.

46244311344264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46244311344264 is an abundant number, since it is smaller than the sum of its proper divisors (79876537777176).

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

46244311344264 is a wasteful number, since it uses less digits than its factorization.

46244311344264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175167846021 (or 175167846017 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

It can be divided in two parts, 4624431 and 1344264, that added together give a palindrome (5968695).

The spelling of 46244311344264 in words is "forty-six trillion, two hundred forty-four billion, three hundred eleven million, three hundred forty-four thousand, two hundred sixty-four".