22892714449920 has 3696 divisors, whose sum is σ = 104676744657600. Its totient is φ = 4767637045248.

The previous prime is 22892714449907. The next prime is 22892714449949. The reversal of 22892714449920 is 2994441729822.

22892714449920 is a `hidden beast` number, since 2 + 2 + 8 + 92 + 7 + 14 + 449 + 92 + 0 = 666.

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 335 ways as a sum of consecutive naturals, for example, 115038765981 + ... + 115038766179.

Almost surely, 2^{22892714449920} is an apocalyptic number.

22892714449920 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 22892714449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52338372328800).

22892714449920 is an abundant number, since it is smaller than the sum of its proper divisors (81784030207680).

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

22892714449920 is a wasteful number, since it uses less digits than its factorization.

22892714449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 22892714449920 in words is "twenty-two trillion, eight hundred ninety-two billion, seven hundred fourteen million, four hundred forty-nine thousand, nine hundred twenty".