113035242609408 has 576 divisors, whose sum is σ = 363884135408640. Its totient is φ = 30429624139776.

The previous prime is 113035242609397. The next prime is 113035242609437. The reversal of 113035242609408 is 804906242530311.

It is a super-2 number, since 2×113035242609408² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 16778272216 + ... + 16778278952.

It is an arithmetic number, because the mean of its divisors is an integer number (631743290640).

Almost surely, 2^{113035242609408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113035242609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181942067704320).

113035242609408 is an abundant number, since it is smaller than the sum of its proper divisors (250848892799232).

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

113035242609408 is a wasteful number, since it uses less digits than its factorization.

113035242609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 113035242609408 in words is "one hundred thirteen trillion, thirty-five billion, two hundred forty-two million, six hundred nine thousand, four hundred eight".