22940963136000 has 2880 divisors, whose sum is σ = 103437567357696. Its totient is φ = 4784652288000.

The previous prime is 22940963135969. The next prime is 22940963136023. The reversal of 22940963136000 is 63136904922.

22940963136000 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 0 + 9 + 6 + 31 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89264447872 + ... + 89264448128.

Almost surely, 2^{22940963136000} is an apocalyptic number.

22940963136000 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 22940963136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51718783678848).

22940963136000 is an abundant number, since it is smaller than the sum of its proper divisors (80496604221696).

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

22940963136000 is a wasteful number, since it uses less digits than its factorization.

22940963136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 22940963136000 in words is "twenty-two trillion, nine hundred forty billion, nine hundred sixty-three million, one hundred thirty-six thousand".