22256172499968 has 880 divisors, whose sum is σ = 75305534878464. Its totient is φ = 6488364072960.

The previous prime is 22256172499961. The next prime is 22256172500021. The reversal of 22256172499968 is 86999427165222.

22256172499968 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 6 + 1 + 72 + 499 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22256172499896 and 22256172499905.

It is not an unprimeable number, because it can be changed into a prime (22256172499961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2628574071 + ... + 2628582537.

Almost surely, 2^{22256172499968} 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 22256172499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37652767439232).

22256172499968 is an abundant number, since it is smaller than the sum of its proper divisors (53049362378496).

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

22256172499968 is a wasteful number, since it uses less digits than its factorization.

22256172499968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620 (or 8593 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 22256172499968 in words is "twenty-two trillion, two hundred fifty-six billion, one hundred seventy-two million, four hundred ninety-nine thousand, nine hundred sixty-eight".