46224122142264 has 64 divisors (see below), whose sum is σ = 131546908880640. Its totient is φ = 13398296271360.

The previous prime is 46224122142259. The next prime is 46224122142299.

46224122142264 is nontrivially palindromic in base 10.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3806328097 + ... + 3806340240.

It is an arithmetic number, because the mean of its divisors is an integer number (2055420451260).

Almost surely, 2^{46224122142264} is an apocalyptic number.

46224122142264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46224122142264 is an abundant number, since it is smaller than the sum of its proper divisors (85322786738376).

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

46224122142264 is a wasteful number, since it uses less digits than its factorization.

46224122142264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612668380 (or 7612668376 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 4622412 and 2142264, that added together give a palindrome (6764676).

The spelling of 46224122142264 in words is "forty-six trillion, two hundred twenty-four billion, one hundred twenty-two million, one hundred forty-two thousand, two hundred sixty-four".