22794131462400 has 1215 divisors, whose sum is σ = 89205157979091. Its totient is φ = 5742017372160.

The previous prime is 22794131462387. The next prime is 22794131462407. The reversal of 22794131462400 is 426413149722.

The square root of 22794131462400 is 4774320.

It is a perfect power (a square), and thus also a powerful number.

22794131462400 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 4 + 1 + 3 + 14 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 234519369984 + 22559612092416 = 484272^2 + 4749696^2 .

It is a super-2 number, since 2×22794131462400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22794131462407) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 65312697426 + ... + 65312697774.

Almost surely, 2^{22794131462400} is an apocalyptic number.

22794131462400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22794131462400 is the 4774320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22794131462400

22794131462400 is an abundant number, since it is smaller than the sum of its proper divisors (66411026516691).

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

22794131462400 is an frugal number, since it uses more digits than its factorization.

22794131462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22794131462400 in words is "twenty-two trillion, seven hundred ninety-four billion, one hundred thirty-one million, four hundred sixty-two thousand, four hundred".