76991622113169 has 33 divisors (see below), whose sum is σ = 115489979610843. Its totient is φ = 51326326608552.

The previous prime is 76991622113143. The next prime is 76991622113201. The reversal of 76991622113169 is 96131122619967.

The square root of 76991622113169 is 8774487.

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

76991622113169 is a `hidden beast` number, since 7 + 6 + 9 + 91 + 6 + 221 + 1 + 316 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76914882032769 + 76740080400 = 8770113^2 + 277020^2 .

It is not a de Polignac number, because 76991622113169 - 2⁷ = 76991622113041 is a prime.

It is a super-2 number, since 2×76991622113169² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76991622112169) 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 32 ways as a sum of consecutive naturals, for example, 2132182287 + ... + 2132218395.

Almost surely, 2^{76991622113169} is an apocalyptic number.

76991622113169 is the 8774487-th square number.

76991622113169 is the 4387244-th centered octagonal number.

It is an amenable number.

76991622113169 is a deficient number, since it is larger than the sum of its proper divisors (38498357497674).

76991622113169 is an frugal number, since it uses more digits than its factorization.

76991622113169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72248 (or 36112 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 63.

The spelling of 76991622113169 in words is "seventy-six trillion, nine hundred ninety-one billion, six hundred twenty-two million, one hundred thirteen thousand, one hundred sixty-nine".