22590401616 has 120 divisors (see below), whose sum is σ = 63597007656. Its totient is φ = 7485603840.

The previous prime is 22590401597. The next prime is 22590401627. The reversal of 22590401616 is 61610409522.

22590401616 is a `hidden beast` number, since 2 + 2 + 590 + 4 + 0 + 1 + 61 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29160000 + 22561241616 = 5400^2 + 150204^2 .

It is a super-2 number, since 2×22590401616² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26483046 + ... + 26483898.

Almost surely, 2^22590401616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22590401616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31798503828).

22590401616 is an abundant number, since it is smaller than the sum of its proper divisors (41006606040).

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

22590401616 is a wasteful number, since it uses less digits than its factorization.

22590401616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 22590401616 in words is "twenty-two billion, five hundred ninety million, four hundred one thousand, six hundred sixteen".