22925093437440 has 1088 divisors, whose sum is σ = 84934008000000. Its totient is φ = 5859811786752.

The previous prime is 22925093437429. The next prime is 22925093437457. The reversal of 22925093437440 is 4473439052922.

22925093437440 is a `hidden beast` number, since 2 + 2 + 9 + 250 + 9 + 343 + 7 + 4 + 40 = 666.

It is a super-3 number, since 3×22925093437440³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51058114336 + ... + 51058114784.

Almost surely, 2^{22925093437440} is an apocalyptic number.

22925093437440 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 22925093437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42467004000000).

22925093437440 is an abundant number, since it is smaller than the sum of its proper divisors (62008914562560).

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

22925093437440 is an equidigital number, since it uses as much as digits as its factorization.

22925093437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 22925093437440 in words is "twenty-two trillion, nine hundred twenty-five billion, ninety-three million, four hundred thirty-seven thousand, four hundred forty".