22142742336 has 672 divisors, whose sum is σ = 78848346240. Its totient is φ = 6038323200.

The previous prime is 22142742313. The next prime is 22142742353. The reversal of 22142742336 is 63324724122.

22142742336 is a `hidden beast` number, since 221 + 4 + 2 + 7 + 423 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22142742336.

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 95 ways as a sum of consecutive naturals, for example, 195953416 + ... + 195953528.

Almost surely, 2^22142742336 is an apocalyptic number.

22142742336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39424173120).

22142742336 is an abundant number, since it is smaller than the sum of its proper divisors (56705603904).

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

22142742336 is a wasteful number, since it uses less digits than its factorization.

22142742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The spelling of 22142742336 in words is "twenty-two billion, one hundred forty-two million, seven hundred forty-two thousand, three hundred thirty-six".