22725464789664 has 864 divisors, whose sum is σ = 84788732980224. Its totient is φ = 5643330600960.

The previous prime is 22725464789663. The next prime is 22725464789711. The reversal of 22725464789664 is 46698746452722.

22725464789664 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 5 + 4 + 6 + 478 + 96 + 64 = 666.

It is a super-2 number, since 2×22725464789664² (a number of 28 digits) contains 22 as substring.

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 = 22725464789592 and 22725464789601.

It is not an unprimeable number, because it can be changed into a prime (22725464789663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 390758412 + ... + 390816564.

It is an arithmetic number, because the mean of its divisors is an integer number (98135107616).

Almost surely, 2^{22725464789664} is an apocalyptic number.

22725464789664 is a gapful number since it is divisible by the number (24) 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 22725464789664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42394366490112).

22725464789664 is an abundant number, since it is smaller than the sum of its proper divisors (62063268190560).

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

22725464789664 is a wasteful number, since it uses less digits than its factorization.

22725464789664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58270 (or 58246 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 72.

The spelling of 22725464789664 in words is "twenty-two trillion, seven hundred twenty-five billion, four hundred sixty-four million, seven hundred eighty-nine thousand, six hundred sixty-four".