113441464700928 has 4368 divisors, whose sum is σ = 465237133394880. Its totient is φ = 27305557622784.

The previous prime is 113441464700821. The next prime is 113441464700929. The reversal of 113441464700928 is 829007464144311.

It is a happy number.

113441464700928 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 146 + 470 + 0 + 9 + 28 = 666.

113441464700928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4368).

It is a super-2 number, since 2×113441464700928² (a number of 29 digits) contains 22 as substring.

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 (113441464700929) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1553992667100 + ... + 1553992667172.

Almost surely, 2^{113441464700928} is an apocalyptic number.

113441464700928 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 113441464700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232618566697440).

113441464700928 is an abundant number, since it is smaller than the sum of its proper divisors (351795668693952).

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

113441464700928 is an equidigital number, since it uses as much as digits as its factorization.

113441464700928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 113441464700928 in words is "one hundred thirteen trillion, four hundred forty-one billion, four hundred sixty-four million, seven hundred thousand, nine hundred twenty-eight".