113821728768 has 720 divisors, whose sum is σ = 391593436416. Its totient is φ = 32699842560.

The previous prime is 113821728763. The next prime is 113821728799. The reversal of 113821728768 is 867827128311.

113821728768 is a `hidden beast` number, since 11 + 382 + 172 + 87 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113821728763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007271880 + ... + 1007271992.

Almost surely, 2^113821728768 is an apocalyptic number.

113821728768 is a gapful number since it is divisible by the number (18) 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 113821728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195796718208).

113821728768 is an abundant number, since it is smaller than the sum of its proper divisors (277771707648).

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

113821728768 is an equidigital number, since it uses as much as digits as its factorization.

113821728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 152 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The spelling of 113821728768 in words is "one hundred thirteen billion, eight hundred twenty-one million, seven hundred twenty-eight thousand, seven hundred sixty-eight".