22400100451413 has 24 divisors (see below), whose sum is σ = 33789942126720. Its totient is φ = 14272499308320.

The previous prime is 22400100451397. The next prime is 22400100451423. The reversal of 22400100451413 is 31415400100422.

22400100451413 is a `hidden beast` number, since 2 + 2 + 40 + 0 + 100 + 4 + 514 + 1 + 3 = 666.

It is not a de Polignac number, because 22400100451413 - 2⁴ = 22400100451397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400100451423) 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 23 ways as a sum of consecutive naturals, for example, 43770433 + ... + 44279238.

It is an arithmetic number, because the mean of its divisors is an integer number (1407914255280).

Almost surely, 2^{22400100451413} is an apocalyptic number.

22400100451413 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22400100451413 is a deficient number, since it is larger than the sum of its proper divisors (11389841675307).

22400100451413 is a wasteful number, since it uses less digits than its factorization.

22400100451413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88050929 (or 88050926 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22400100451413 its reverse (31415400100422), we get a palindrome (53815500551835).

The spelling of 22400100451413 in words is "twenty-two trillion, four hundred billion, one hundred million, four hundred fifty-one thousand, four hundred thirteen".