113770789821000 has 384 divisors, whose sum is σ = 415620831880800. Its totient is φ = 27904008038400.

The previous prime is 113770789820993. The next prime is 113770789821043. The reversal of 113770789821000 is 128987077311.

113770789821000 is a `hidden beast` number, since 11 + 377 + 0 + 7 + 89 + 82 + 100 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 44312533578756 + 69458256242244 = 6656766^2 + 8334162^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30653766 + ... + 34164234.

Almost surely, 2^{113770789821000} is an apocalyptic number.

113770789821000 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 113770789821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207810415940400).

113770789821000 is an abundant number, since it is smaller than the sum of its proper divisors (301850042059800).

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

113770789821000 is a wasteful number, since it uses less digits than its factorization.

113770789821000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510786 (or 3510769 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 113770789821000 in words is "one hundred thirteen trillion, seven hundred seventy billion, seven hundred eighty-nine million, eight hundred twenty-one thousand".