22140497664 has 288 divisors, whose sum is σ = 66884912640. Its totient is φ = 7223205888.

The previous prime is 22140497657. The next prime is 22140497681. The reversal of 22140497664 is 46679404122.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97535119 + ... + 97535345.

It is an arithmetic number, because the mean of its divisors is an integer number (232239280).

Almost surely, 2^22140497664 is an apocalyptic number.

22140497664 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 22140497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33442456320).

22140497664 is an abundant number, since it is smaller than the sum of its proper divisors (44744414976).

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

22140497664 is a wasteful number, since it uses less digits than its factorization.

22140497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22140497664 in words is "twenty-two billion, one hundred forty million, four hundred ninety-seven thousand, six hundred sixty-four".