21142324106176 has 84 divisors (see below), whose sum is σ = 51919775603472. Its totient is φ = 8363996319744.

The previous prime is 21142324106159. The next prime is 21142324106179. The reversal of 21142324106176 is 67160142324112.

It is a super-2 number, since 2×21142324106176² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142324106179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139547625 + ... + 139699048.

It is an arithmetic number, because the mean of its divisors is an integer number (618092566708).

Almost surely, 2^{21142324106176} is an apocalyptic number.

21142324106176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21142324106176 is an abundant number, since it is smaller than the sum of its proper divisors (30777451497296).

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

21142324106176 is a wasteful number, since it uses less digits than its factorization.

21142324106176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279246718 (or 279246695 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 21142324106176 in words is "twenty-one trillion, one hundred forty-two billion, three hundred twenty-four million, one hundred six thousand, one hundred seventy-six".