22663251016640 has 224 divisors, whose sum is σ = 60352239919104. Its totient is φ = 8049536225280.

The previous prime is 22663251016583. The next prime is 22663251016649. The reversal of 22663251016640 is 4661015236622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22663251016591 and 22663251016600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22663251016649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21010157 + ... + 22062483.

It is an arithmetic number, because the mean of its divisors is an integer number (269429642496).

Almost surely, 2^{22663251016640} is an apocalyptic number.

22663251016640 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 22663251016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30176119959552).

22663251016640 is an abundant number, since it is smaller than the sum of its proper divisors (37688988902464).

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

22663251016640 is a wasteful number, since it uses less digits than its factorization.

22663251016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052555 (or 1052545 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 22663251016640 in words is "twenty-two trillion, six hundred sixty-three billion, two hundred fifty-one million, sixteen thousand, six hundred forty".