113787409881600 has 2160 divisors, whose sum is σ = 536991718142880. Its totient is φ = 22744041062400.

The previous prime is 113787409881589. The next prime is 113787409881611. The reversal of 113787409881600 is 6188904787311.

113787409881600 is a `hidden beast` number, since 1 + 1 + 378 + 7 + 40 + 98 + 81 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113787409881589) and next prime (113787409881611).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1394224795 + ... + 1394306405.

It is an arithmetic number, because the mean of its divisors is an integer number (248607276918).

Almost surely, 2^{113787409881600} is an apocalyptic number.

113787409881600 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 113787409881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268495859071440).

113787409881600 is an abundant number, since it is smaller than the sum of its proper divisors (423204308261280).

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

113787409881600 is a wasteful number, since it uses less digits than its factorization.

113787409881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81691 (or 81660 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 113787409881600 in words is "one hundred thirteen trillion, seven hundred eighty-seven billion, four hundred nine million, eight hundred eighty-one thousand, six hundred".