113927037439104 has 512 divisors, whose sum is σ = 360176492160000. Its totient is φ = 35343844466688.

The previous prime is 113927037439097. The next prime is 113927037439109. The reversal of 113927037439104 is 401934730729311.

It is a happy number.

113927037439104 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 2 + 70 + 37 + 439 + 104 = 666.

113927037439104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (113927037439109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6419500759 + ... + 6419518505.

It is an arithmetic number, because the mean of its divisors is an integer number (703469711250).

Almost surely, 2^{113927037439104} 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 113927037439104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180088246080000).

113927037439104 is an abundant number, since it is smaller than the sum of its proper divisors (246249454720896).

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

113927037439104 is a wasteful number, since it uses less digits than its factorization.

113927037439104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19505 (or 19487 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 113927037439104 in words is "one hundred thirteen trillion, nine hundred twenty-seven billion, thirty-seven million, four hundred thirty-nine thousand, one hundred four".