23642133124632 has 64 divisors (see below), whose sum is σ = 66221208288000. Its totient is φ = 6970653498240.

The previous prime is 23642133124609. The next prime is 23642133124667.

23642133124632 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, 1210173132 + ... + 1210192667.

It is an arithmetic number, because the mean of its divisors is an integer number (1034706379500).

Almost surely, 2^{23642133124632} is an apocalyptic number.

23642133124632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23642133124632 is an abundant number, since it is smaller than the sum of its proper divisors (42579075163368).

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

23642133124632 is a wasteful number, since it uses less digits than its factorization.

23642133124632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420365856 (or 2420365852 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 2364213 and 3124632, that added together give a palindrome (5488845).

The spelling of 23642133124632 in words is "twenty-three trillion, six hundred forty-two billion, one hundred thirty-three million, one hundred twenty-four thousand, six hundred thirty-two".