22764851923968 has 1056 divisors, whose sum is σ = 87355256122368. Its totient is φ = 5527830528000.

The previous prime is 22764851923963. The next prime is 22764851923987. The reversal of 22764851923968 is 86932915846722.

22764851923968 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 48 + 5 + 192 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22764851923896 and 22764851923905.

It is not an unprimeable number, because it can be changed into a prime (22764851923963) 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, 1821619096 + ... + 1821631592.

Almost surely, 2^{22764851923968} is an apocalyptic number.

22764851923968 is a gapful number since it is divisible by the number (28) 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 22764851923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43677628061184).

22764851923968 is an abundant number, since it is smaller than the sum of its proper divisors (64590404198400).

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

22764851923968 is a wasteful number, since it uses less digits than its factorization.

22764851923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12709 (or 12688 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 22764851923968 in words is "twenty-two trillion, seven hundred sixty-four billion, eight hundred fifty-one million, nine hundred twenty-three thousand, nine hundred sixty-eight".