22252478976 has 960 divisors, whose sum is σ = 87306912000. Its totient is φ = 5559902208.

The previous prime is 22252478893. The next prime is 22252478977. The reversal of 22252478976 is 67987425222.

22252478976 is a `hidden beast` number, since 2 + 22 + 524 + 7 + 8 + 97 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22252478977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171183095 + ... + 1171183113.

It is an arithmetic number, because the mean of its divisors is an integer number (90944700).

Almost surely, 2^22252478976 is an apocalyptic number.

22252478976 is a gapful number since it is divisible by the number (26) 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 22252478976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43653456000).

22252478976 is an abundant number, since it is smaller than the sum of its proper divisors (65054433024).

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

22252478976 is an equidigital number, since it uses as much as digits as its factorization.

22252478976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 44 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 22252478976 in words is "twenty-two billion, two hundred fifty-two million, four hundred seventy-eight thousand, nine hundred seventy-six".