22138725312 has 336 divisors, whose sum is σ = 71003672064. Its totient is φ = 6593241600.

The previous prime is 22138725289. The next prime is 22138725341. The reversal of 22138725312 is 21352783122.

22138725312 is a `hidden beast` number, since 2 + 21 + 38 + 72 + 531 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51365737 + ... + 51366167.

Almost surely, 2^22138725312 is an apocalyptic number.

22138725312 is a gapful number since it is divisible by the number (22) 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 22138725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35501836032).

22138725312 is an abundant number, since it is smaller than the sum of its proper divisors (48864946752).

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

22138725312 is a wasteful number, since it uses less digits than its factorization.

22138725312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 514 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 22138725312 in words is "twenty-two billion, one hundred thirty-eight million, seven hundred twenty-five thousand, three hundred twelve".