113270687981568 has 1120 divisors, whose sum is σ = 372904409465280. Its totient is φ = 34049454243840.

The previous prime is 113270687981567. The next prime is 113270687981579. The reversal of 113270687981568 is 865189786072311.

113270687981568 is a `hidden beast` number, since 1 + 1 + 327 + 0 + 68 + 7 + 98 + 156 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 113270687981496 and 113270687981505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113270687981567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87874854268 + ... + 87874855556.

It is an arithmetic number, because the mean of its divisors is an integer number (332950365594).

Almost surely, 2^{113270687981568} is an apocalyptic number.

113270687981568 is a gapful number since it is divisible by the number (18) 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 113270687981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186452204732640).

113270687981568 is an abundant number, since it is smaller than the sum of its proper divisors (259633721483712).

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

113270687981568 is a wasteful number, since it uses less digits than its factorization.

113270687981568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 113270687981568 in words is "one hundred thirteen trillion, two hundred seventy billion, six hundred eighty-seven million, nine hundred eighty-one thousand, five hundred sixty-eight".