22721138399232 has 3840 divisors, whose sum is σ = 94937159116800. Its totient is φ = 5243865661440.

The previous prime is 22721138399221. The next prime is 22721138399273. The reversal of 22721138399232 is 23299383112722.

22721138399232 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 1 + 13 + 8 + 399 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 320016033757 + ... + 320016033827.

It is an arithmetic number, because the mean of its divisors is an integer number (24723218520).

Almost surely, 2^{22721138399232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22721138399232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47468579558400).

22721138399232 is an abundant number, since it is smaller than the sum of its proper divisors (72216020717568).

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

22721138399232 is a wasteful number, since it uses less digits than its factorization.

22721138399232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 22721138399232 in words is "twenty-two trillion, seven hundred twenty-one billion, one hundred thirty-eight million, three hundred ninety-nine thousand, two hundred thirty-two".