113366649876480 has 3744 divisors, whose sum is σ = 557088552453888. Its totient is φ = 21737963520000.

The previous prime is 113366649876391. The next prime is 113366649876511. The reversal of 113366649876480 is 84678946663311.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is a junction number, because it is equal to n+sod(n) for n = 113366649876399 and 113366649876408.

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, 34871314855 + ... + 34871318105.

It is an arithmetic number, because the mean of its divisors is an integer number (148795019352).

Almost surely, 2^{113366649876480} is an apocalyptic number.

113366649876480 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 113366649876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278544276226944).

113366649876480 is an abundant number, since it is smaller than the sum of its proper divisors (443721902577408).

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

113366649876480 is a wasteful number, since it uses less digits than its factorization.

113366649876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 113366649876480 in words is "one hundred thirteen trillion, three hundred sixty-six billion, six hundred forty-nine million, eight hundred seventy-six thousand, four hundred eighty".