113817138434000 has 80 divisors (see below), whose sum is σ = 280402479498960. Its totient is φ = 44667858060800.

The previous prime is 113817138433979. The next prime is 113817138434017. The reversal of 113817138434000 is 434831718311.

It can be written as a sum of positive squares in 8 ways, for example, as 58417222189456 + 55399916244544 = 7643116^2 + 7443112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536767295 + ... + 536979294.

It is an arithmetic number, because the mean of its divisors is an integer number (3505030993737).

Almost surely, 2^{113817138434000} is an apocalyptic number.

113817138434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113817138434000 is an abundant number, since it is smaller than the sum of its proper divisors (166585341064960).

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

113817138434000 is a wasteful number, since it uses less digits than its factorization.

113817138434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073746665 (or 1073746649 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 113817138434000 in words is "one hundred thirteen trillion, eight hundred seventeen billion, one hundred thirty-eight million, four hundred thirty-four thousand".