9977613117696 has 1215 divisors, whose sum is σ = 36107841472521. Its totient is φ = 2649092898816.

The previous prime is 9977613117653. The next prime is 9977613117733. The reversal of 9977613117696 is 6967113167799.

The square root of 9977613117696 is 3158736.

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

9977613117696 is a `hidden beast` number, since 9 + 97 + 76 + 1 + 311 + 76 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7768037894400 + 2209575223296 = 2787120^2 + 1486464^2 .

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (162030456) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 126298900185 + ... + 126298900263.

Almost surely, 2^{9977613117696} is an apocalyptic number.

9977613117696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9977613117696 is the 3158736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9977613117696

9977613117696 is an abundant number, since it is smaller than the sum of its proper divisors (26130228354825).

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

9977613117696 is an frugal number, since it uses more digits than its factorization.

9977613117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 108 counting only the distinct ones).

The product of its digits is 162030456, while the sum is 72.

The spelling of 9977613117696 in words is "nine trillion, nine hundred seventy-seven billion, six hundred thirteen million, one hundred seventeen thousand, six hundred ninety-six".