113701364727808 has 1024 divisors, whose sum is σ = 296648445139200. Its totient is φ = 42757741608960.

The previous prime is 113701364727793. The next prime is 113701364727869. The reversal of 113701364727808 is 808727463107311.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191739231960 + ... + 191739232552.

Almost surely, 2^{113701364727808} 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 113701364727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148324222569600).

113701364727808 is an abundant number, since it is smaller than the sum of its proper divisors (182947080411392).

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

113701364727808 is a wasteful number, since it uses less digits than its factorization.

113701364727808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 58.

The spelling of 113701364727808 in words is "one hundred thirteen trillion, seven hundred one billion, three hundred sixty-four million, seven hundred twenty-seven thousand, eight hundred eight".