113435097686448 has 240 divisors, whose sum is σ = 307412655830784. Its totient is φ = 36040766952960.

The previous prime is 113435097686419. The next prime is 113435097686461. The reversal of 113435097686448 is 844686790534311.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8825567190 + ... + 8825580042.

Almost surely, 2^{113435097686448} 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 113435097686448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153706327915392).

113435097686448 is an abundant number, since it is smaller than the sum of its proper divisors (193977558144336).

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

113435097686448 is a wasteful number, since it uses less digits than its factorization.

113435097686448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14104 (or 14075 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 69.

The spelling of 113435097686448 in words is "one hundred thirteen trillion, four hundred thirty-five billion, ninety-seven million, six hundred eighty-six thousand, four hundred forty-eight".