117968359032976 has 45 divisors (see below), whose sum is σ = 233534264559001. Its totient is φ = 57728197731776.

The previous prime is 117968359032941. The next prime is 117968359033009. The reversal of 117968359032976 is 679230953869711.

The square root of 117968359032976 is 10861324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2538604890000 + 115429754142976 = 1593300^2 + 10743824^2 .

It is a super-3 number, since 3×117968359032976³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2041900026 + ... + 2041957798.

Almost surely, 2^{117968359032976} is an apocalyptic number.

117968359032976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117968359032976 is the 10861324-th square number.

It is an amenable number.

117968359032976 is a deficient number, since it is larger than the sum of its proper divisors (115565905526025).

117968359032976 is an frugal number, since it uses more digits than its factorization.

117968359032976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115648 (or 57822 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 76.

The spelling of 117968359032976 in words is "one hundred seventeen trillion, nine hundred sixty-eight billion, three hundred fifty-nine million, thirty-two thousand, nine hundred seventy-six".