113004066816 has 864 divisors, whose sum is σ = 388451110320. Its totient is φ = 32678608896.

The previous prime is 113004066803. The next prime is 113004066827. The reversal of 113004066816 is 618660400311.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3054163950 + ... + 3054163986.

Almost surely, 2^113004066816 is an apocalyptic number.

113004066816 is a gapful number since it is divisible by the number (16) 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 113004066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194225555160).

113004066816 is an abundant number, since it is smaller than the sum of its proper divisors (275447043504).

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

113004066816 is an equidigital number, since it uses as much as digits as its factorization.

113004066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 113004066816 in words is "one hundred thirteen billion, four million, sixty-six thousand, eight hundred sixteen".