113825357367120 has 2000 divisors, whose sum is σ = 501167525844480. Its totient is φ = 23850883123200.

The previous prime is 113825357367109. The next prime is 113825357367121. The reversal of 113825357367120 is 21763753528311.

113825357367120 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 2 + 5 + 3 + 573 + 67 + 1 + 2 + 0 = 666.

113825357367120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113825357367121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 9163938510 + ... + 9163950930.

Almost surely, 2^{113825357367120} is an apocalyptic number.

113825357367120 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 113825357367120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250583762922240).

113825357367120 is an abundant number, since it is smaller than the sum of its proper divisors (387342168477360).

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

113825357367120 is a wasteful number, since it uses less digits than its factorization.

113825357367120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524 (or 12488 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 113825357367120 in words is "one hundred thirteen trillion, eight hundred twenty-five billion, three hundred fifty-seven million, three hundred sixty-seven thousand, one hundred twenty".