22634916480 has 512 divisors, whose sum is σ = 88048684800. Its totient is φ = 5449973760.

The previous prime is 22634916443. The next prime is 22634916487. The reversal of 22634916480 is 8461943622.

22634916480 is a `hidden beast` number, since 2 + 2 + 634 + 9 + 1 + 6 + 4 + 8 + 0 = 666.

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 (22634916487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36685132 + ... + 36685748.

Almost surely, 2^22634916480 is an apocalyptic number.

22634916480 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 22634916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44024342400).

22634916480 is an abundant number, since it is smaller than the sum of its proper divisors (65413768320).

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

22634916480 is a wasteful number, since it uses less digits than its factorization.

22634916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 22634916480 in words is "twenty-two billion, six hundred thirty-four million, nine hundred sixteen thousand, four hundred eighty".