113279106386160 has 480 divisors, whose sum is σ = 447356089252800. Its totient is φ = 25325433077760.

The previous prime is 113279106386101. The next prime is 113279106386183. The reversal of 113279106386160 is 61683601972311.

113279106386160 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 7 + 9 + 10 + 6 + 3 + 8 + 616 + 0 = 666.

113279106386160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 113279106386097 and 113279106386106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109549636 + ... + 110578844.

It is an arithmetic number, because the mean of its divisors is an integer number (931991852610).

Almost surely, 2^{113279106386160} is an apocalyptic number.

113279106386160 is a gapful number since it is divisible by the number (10) 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 113279106386160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223678044626400).

113279106386160 is an abundant number, since it is smaller than the sum of its proper divisors (334076982866640).

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

113279106386160 is a wasteful number, since it uses less digits than its factorization.

113279106386160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030321 (or 1030312 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 113279106386160 in words is "one hundred thirteen trillion, two hundred seventy-nine billion, one hundred six million, three hundred eighty-six thousand, one hundred sixty".