113768971776 has 240 divisors, whose sum is σ = 332703955584. Its totient is φ = 37423337472.

The previous prime is 113768971741. The next prime is 113768971801. The reversal of 113768971776 is 677179867311.

113768971776 is a `hidden beast` number, since 1 + 1 + 376 + 8 + 97 + 177 + 6 = 666.

113768971776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 125433915 + ... + 125434821.

Almost surely, 2^113768971776 is an apocalyptic number.

113768971776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113768971776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166351977792).

113768971776 is an abundant number, since it is smaller than the sum of its proper divisors (218934983808).

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

113768971776 is a wasteful number, since it uses less digits than its factorization.

113768971776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1242 counting only the distinct ones).

The product of its digits is 18670176, while the sum is 63.

The spelling of 113768971776 in words is "one hundred thirteen billion, seven hundred sixty-eight million, nine hundred seventy-one thousand, seven hundred seventy-six".