113984787840 has 2304 divisors, whose sum is σ = 534478694400. Its totient is φ = 20437401600.

The previous prime is 113984787827. The next prime is 113984787869. The reversal of 113984787840 is 48787489311.

It is a super-3 number, since 3×113984787840³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3676928625 + ... + 3676928655.

It is an arithmetic number, because the mean of its divisors is an integer number (231978600).

Almost surely, 2^113984787840 is an apocalyptic number.

113984787840 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 113984787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267239347200).

113984787840 is an abundant number, since it is smaller than the sum of its proper divisors (420493906560).

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

113984787840 is a wasteful number, since it uses less digits than its factorization.

113984787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 113984787840 in words is "one hundred thirteen billion, nine hundred eighty-four million, seven hundred eighty-seven thousand, eight hundred forty".