1117174795968 has 896 divisors, whose sum is σ = 4131624960000. Its totient is φ = 262876078080.

The previous prime is 1117174795967. The next prime is 1117174796039. The reversal of 1117174795968 is 8695974717111.

It is a super-2 number, since 2×1117174795968² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1117174795899 and 1117174795908.

It is not an unprimeable number, because it can be changed into a prime (1117174795967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 316568028 + ... + 316571556.

Almost surely, 2^{1117174795968} 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 1117174795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065812480000).

1117174795968 is an abundant number, since it is smaller than the sum of its proper divisors (3014450164032).

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

1117174795968 is a wasteful number, since it uses less digits than its factorization.

1117174795968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3594 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 66.

The spelling of 1117174795968 in words is "one trillion, one hundred seventeen billion, one hundred seventy-four million, seven hundred ninety-five thousand, nine hundred sixty-eight".