22981135497600 has 384 divisors, whose sum is σ = 86556529313280. Its totient is φ = 5249857536000.

The previous prime is 22981135497577. The next prime is 22981135497611. The reversal of 22981135497600 is 679453118922.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119721700 + ... + 119913500.

It is an arithmetic number, because the mean of its divisors is an integer number (225407628420).

It is a 1-persistent number, because it is pandigital, but 2⋅22981135497600 = 45962270995200 is not.

Almost surely, 2^{22981135497600} is an apocalyptic number.

22981135497600 is a gapful number since it is divisible by the number (20) 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 22981135497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43278264656640).

22981135497600 is an abundant number, since it is smaller than the sum of its proper divisors (63575393815680).

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

22981135497600 is a wasteful number, since it uses less digits than its factorization.

22981135497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193618 (or 193601 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 22981135497600 in words is "twenty-two trillion, nine hundred eighty-one billion, one hundred thirty-five million, four hundred ninety-seven thousand, six hundred".