22153221361152 has 960 divisors, whose sum is σ = 77827739658240. Its totient is φ = 5925685248000.

The previous prime is 22153221361147. The next prime is 22153221361237. The reversal of 22153221361152 is 25116312235122.

22153221361152 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 3 + 22 + 13 + 611 + 5 + 2 = 666.

It is a super-2 number, since 2×22153221361152² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 21078231027 + ... + 21078232077.

It is an arithmetic number, because the mean of its divisors is an integer number (81070562144).

Almost surely, 2^{22153221361152} 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 22153221361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38913869829120).

22153221361152 is an abundant number, since it is smaller than the sum of its proper divisors (55674518297088).

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

22153221361152 is a wasteful number, since it uses less digits than its factorization.

22153221361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1456 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 22153221361152 its reverse (25116312235122), we get a palindrome (47269533596274).

The spelling of 22153221361152 in words is "twenty-two trillion, one hundred fifty-three billion, two hundred twenty-one million, three hundred sixty-one thousand, one hundred fifty-two".