22981431004992 has 336 divisors, whose sum is σ = 70738354831872. Its totient is φ = 7389929687040.

The previous prime is 22981431004979. The next prime is 22981431005017. The reversal of 22981431004992 is 29940013418922.

It is a happy number.

22981431004992 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 1 + 43 + 100 + 499 + 2 = 666.

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

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, 152754318 + ... + 152904690.

It is an arithmetic number, because the mean of its divisors is an integer number (210530817952).

Almost surely, 2^{22981431004992} 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 22981431004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35369177415936).

22981431004992 is an abundant number, since it is smaller than the sum of its proper divisors (47756923826880).

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

22981431004992 is a wasteful number, since it uses less digits than its factorization.

22981431004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150748 (or 150726 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 22981431004992 in words is "twenty-two trillion, nine hundred eighty-one billion, four hundred thirty-one million, four thousand, nine hundred ninety-two".