22469978048400 has 1200 divisors, whose sum is σ = 86065428662400. Its totient is φ = 5598361681920.

The previous prime is 22469978048363. The next prime is 22469978048437. The reversal of 22469978048400 is 484087996422.

22469978048400 is a `hidden beast` number, since 2 + 2 + 4 + 69 + 97 + 8 + 0 + 484 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22469978048363) and next prime (22469978048437).

It is a tau number, because it is divible by the number of its divisors (1200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17244802149 + ... + 17244803451.

It is an arithmetic number, because the mean of its divisors is an integer number (71721190552).

Almost surely, 2^{22469978048400} is an apocalyptic number.

22469978048400 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 22469978048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43032714331200).

22469978048400 is an abundant number, since it is smaller than the sum of its proper divisors (63595450614000).

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

22469978048400 is a wasteful number, since it uses less digits than its factorization.

22469978048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 22469978048400 in words is "twenty-two trillion, four hundred sixty-nine billion, nine hundred seventy-eight million, forty-eight thousand, four hundred".