22538849577552 has 1200 divisors, whose sum is σ = 86193189282816. Its totient is φ = 5558060851200.

The previous prime is 22538849577487. The next prime is 22538849577581. The reversal of 22538849577552 is 25577594883522.

22538849577552 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 8 + 8 + 49 + 577 + 5 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1803534568 + ... + 1803547064.

Almost surely, 2^{22538849577552} is an apocalyptic number.

22538849577552 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 22538849577552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43096594641408).

22538849577552 is an abundant number, since it is smaller than the sum of its proper divisors (63654339705264).

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

22538849577552 is a wasteful number, since it uses less digits than its factorization.

22538849577552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12604 counting only the distinct ones).

The product of its digits is 1693440000, while the sum is 72.

The spelling of 22538849577552 in words is "twenty-two trillion, five hundred thirty-eight billion, eight hundred forty-nine million, five hundred seventy-seven thousand, five hundred fifty-two".