22994754854400 has 1920 divisors, whose sum is σ = 99957752294400. Its totient is φ = 5131831541760.

The previous prime is 22994754854399. The next prime is 22994754854429. The reversal of 22994754854400 is 445845749922.

It is a happy number.

22994754854400 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 47 + 5 + 48 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×22994754854400³ (a number of 41 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 8426072236 + ... + 8426074964.

It is an arithmetic number, because the mean of its divisors is an integer number (52061329320).

Almost surely, 2^{22994754854400} is an apocalyptic number.

22994754854400 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 22994754854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49978876147200).

22994754854400 is an abundant number, since it is smaller than the sum of its proper divisors (76962997440000).

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

22994754854400 is an frugal number, since it uses more digits than its factorization.

22994754854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 22994754854400 in words is "twenty-two trillion, nine hundred ninety-four billion, seven hundred fifty-four million, eight hundred fifty-four thousand, four hundred".