22048902164800 has 336 divisors, whose sum is σ = 65451837600000. Its totient is φ = 7298941655040.

The previous prime is 22048902164777. The next prime is 22048902164819. The reversal of 22048902164800 is 846120984022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15222501 + ... + 16607899.

Almost surely, 2^{22048902164800} is an apocalyptic number.

22048902164800 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 22048902164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32725918800000).

22048902164800 is an abundant number, since it is smaller than the sum of its proper divisors (43402935435200).

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

22048902164800 is a wasteful number, since it uses less digits than its factorization.

22048902164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385471 (or 1385442 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 22048902164800 in words is "twenty-two trillion, forty-eight billion, nine hundred two million, one hundred sixty-four thousand, eight hundred".