113379298560 has 576 divisors, whose sum is σ = 458033909760. Its totient is φ = 26288824320.

The previous prime is 113379298553. The next prime is 113379298601. The reversal of 113379298560 is 65892973311.

113379298560 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 79 + 2 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 113379298497 and 113379298506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8737197 + ... + 8750163.

It is an arithmetic number, because the mean of its divisors is an integer number (795197760).

Almost surely, 2^113379298560 is an apocalyptic number.

113379298560 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 113379298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229016954880).

113379298560 is an abundant number, since it is smaller than the sum of its proper divisors (344654611200).

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

113379298560 is a wasteful number, since it uses less digits than its factorization.

113379298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13031 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 113379298560 in words is "one hundred thirteen billion, three hundred seventy-nine million, two hundred ninety-eight thousand, five hundred sixty".