112791664196964 has 567 divisors, whose sum is σ = 329292578906473. Its totient is φ = 33779824429824.

The previous prime is 112791664196873. The next prime is 112791664196977. The reversal of 112791664196964 is 469691466197211.

The square root of 112791664196964 is 10620342.

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

112791664196964 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 91 + 6 + 6 + 419 + 69 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87813579392100 + 24978084804864 = 9370890^2 + 4997808^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112791664196892 and 112791664196901.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 224237900737 + ... + 224237901239.

Almost surely, 2^{112791664196964} is an apocalyptic number.

112791664196964 is the 10620342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112791664196964

112791664196964 is an abundant number, since it is smaller than the sum of its proper divisors (216500914709509).

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

112791664196964 is an frugal number, since it uses more digits than its factorization.

112791664196964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 548 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 112791664196964 in words is "one hundred twelve trillion, seven hundred ninety-one billion, six hundred sixty-four million, one hundred ninety-six thousand, nine hundred sixty-four".