22825610496 has 486 divisors, whose sum is σ = 74843877654. Its totient is φ = 6685286400.

The previous prime is 22825610477. The next prime is 22825610497. The reversal of 22825610496 is 69401652822.

22825610496 is a `hidden beast` number, since 2 + 2 + 8 + 25 + 610 + 4 + 9 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1992729600 + 20832880896 = 44640^2 + 144336^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22825610497) 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 53 ways as a sum of consecutive naturals, for example, 374190306 + ... + 374190366.

Almost surely, 2^22825610496 is an apocalyptic number.

22825610496 is a gapful number since it is divisible by the number (26) 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 22825610496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37421938827).

22825610496 is an abundant number, since it is smaller than the sum of its proper divisors (52018267158).

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

22825610496 is a wasteful number, since it uses less digits than its factorization.

22825610496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 22825610496 in words is "twenty-two billion, eight hundred twenty-five million, six hundred ten thousand, four hundred ninety-six".