31199776376976 has 135 divisors (see below), whose sum is σ = 89505527146347. Its totient is φ = 10145375032320.

The previous prime is 31199776376971. The next prime is 31199776377071. The reversal of 31199776376976 is 67967367799113.

The square root of 31199776376976 is 5585676.

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

31199776376976 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 97 + 76 + 376 + 97 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16004000250000 + 15195776126976 = 4000500^2 + 3898176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31199776376895 and 31199776376904.

It is not an unprimeable number, because it can be changed into a prime (31199776376971) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2748146916 + ... + 2748158268.

Almost surely, 2^{31199776376976} is an apocalyptic number.

31199776376976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31199776376976 is the 5585676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31199776376976

31199776376976 is an abundant number, since it is smaller than the sum of its proper divisors (58305750769371).

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

31199776376976 is an frugal number, since it uses more digits than its factorization.

31199776376976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22802 (or 11399 counting only the distinct ones).

The product of its digits is 3402639576, while the sum is 81.

The spelling of 31199776376976 in words is "thirty-one trillion, one hundred ninety-nine billion, seven hundred seventy-six million, three hundred seventy-six thousand, nine hundred seventy-six".