22629159491904 has 672 divisors, whose sum is σ = 78551834849280. Its totient is φ = 6088642560000.

The previous prime is 22629159491893. The next prime is 22629159491923. The reversal of 22629159491904 is 40919495192622.

22629159491904 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 9 + 1 + 59 + 491 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5655873904 + ... + 5655877904.

Almost surely, 2^{22629159491904} is an apocalyptic number.

22629159491904 is a gapful number since it is divisible by the number (24) 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 22629159491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39275917424640).

22629159491904 is an abundant number, since it is smaller than the sum of its proper divisors (55922675357376).

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

22629159491904 is a wasteful number, since it uses less digits than its factorization.

22629159491904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 22629159491904 in words is "twenty-two trillion, six hundred twenty-nine billion, one hundred fifty-nine million, four hundred ninety-one thousand, nine hundred four".