113275825947648 has 3168 divisors, whose sum is σ = 463071508099200. Its totient is φ = 27305557622784.

The previous prime is 113275825947617. The next prime is 113275825947679. The reversal of 113275825947648 is 846749528572311.

113275825947648 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 75 + 82 + 5 + 9 + 476 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (113275825947617) and next prime (113275825947679).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 87336796536 + ... + 87336797832.

It is an arithmetic number, because the mean of its divisors is an integer number (146171561900).

Almost surely, 2^{113275825947648} is an apocalyptic number.

113275825947648 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 113275825947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231535754049600).

113275825947648 is an abundant number, since it is smaller than the sum of its proper divisors (349795682151552).

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

113275825947648 is a wasteful number, since it uses less digits than its factorization.

113275825947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1370 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 113275825947648 in words is "one hundred thirteen trillion, two hundred seventy-five billion, eight hundred twenty-five million, nine hundred forty-seven thousand, six hundred forty-eight".