113978741760000 has 3080 divisors, whose sum is σ = 475987020381180. Its totient is φ = 27088846848000.

The previous prime is 113978741759947. The next prime is 113978741760011. The reversal of 113978741760000 is 67147879311.

It is a happy number.

113978741760000 is a `hidden beast` number, since 1 + 1 + 3 + 97 + 87 + 417 + 60 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 23093483802624 + 90885257957376 = 4805568^2 + 9533376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 219 ways as a sum of consecutive naturals, for example, 3930301439986 + ... + 3930301440014.

Almost surely, 2^{113978741760000} is an apocalyptic number.

113978741760000 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 113978741760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237993510190590).

113978741760000 is an abundant number, since it is smaller than the sum of its proper divisors (362008278621180).

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

113978741760000 is an frugal number, since it uses more digits than its factorization.

113978741760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 113978741760000 in words is "one hundred thirteen trillion, nine hundred seventy-eight billion, seven hundred forty-one million, seven hundred sixty thousand".