113905680448 has 224 divisors, whose sum is σ = 287790209280. Its totient is φ = 43608637440.

The previous prime is 113905680437. The next prime is 113905680463. The reversal of 113905680448 is 844086509311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11548543 + ... + 11558401.

It is an arithmetic number, because the mean of its divisors is an integer number (1284777720).

Almost surely, 2^113905680448 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 113905680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143895104640).

113905680448 is an abundant number, since it is smaller than the sum of its proper divisors (173884528832).

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

113905680448 is a wasteful number, since it uses less digits than its factorization.

113905680448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9973 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 113905680448 in words is "one hundred thirteen billion, nine hundred five million, six hundred eighty thousand, four hundred forty-eight".