22176098617968 has 480 divisors, whose sum is σ = 66154032210240. Its totient is φ = 6923541381120.

The previous prime is 22176098617949. The next prime is 22176098617973. The reversal of 22176098617968 is 86971689067122.

22176098617968 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 609 + 8 + 6 + 1 + 7 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×22176098617968² (a number of 27 digits) contains 22 as substring.

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 = 22176098617896 and 22176098617905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13680504198 + ... + 13680505818.

It is an arithmetic number, because the mean of its divisors is an integer number (137820900438).

Almost surely, 2^{22176098617968} 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 22176098617968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33077016105120).

22176098617968 is an abundant number, since it is smaller than the sum of its proper divisors (43977933592272).

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

22176098617968 is a wasteful number, since it uses less digits than its factorization.

22176098617968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 22176098617968 in words is "twenty-two trillion, one hundred seventy-six billion, ninety-eight million, six hundred seventeen thousand, nine hundred sixty-eight".