22961456640 has 320 divisors, whose sum is σ = 86363133120. Its totient is φ = 5762580480.

The previous prime is 22961456627. The next prime is 22961456641. The reversal of 22961456640 is 4665416922.

22961456640 is a `hidden beast` number, since 2 + 29 + 61 + 4 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22961456641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165270 + ... + 1184810.

It is an arithmetic number, because the mean of its divisors is an integer number (269884791).

Almost surely, 2^22961456640 is an apocalyptic number.

22961456640 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 22961456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43181566560).

22961456640 is an abundant number, since it is smaller than the sum of its proper divisors (63401676480).

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

22961456640 is a wasteful number, since it uses less digits than its factorization.

22961456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19590 (or 19568 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 22961456640 in words is "twenty-two billion, nine hundred sixty-one million, four hundred fifty-six thousand, six hundred forty".