113798272896 has 1024 divisors, whose sum is σ = 448395264000. Its totient is φ = 27520819200.

The previous prime is 113798272891. The next prime is 113798272897. The reversal of 113798272896 is 698272897311.

It is a super-2 number, since 2×113798272896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (18289152) is a multiple of the sum of its prime factors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113798272891) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 358984930 + ... + 358985246.

It is an arithmetic number, because the mean of its divisors is an integer number (437886000).

Almost surely, 2^113798272896 is an apocalyptic number.

113798272896 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 113798272896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224197632000).

113798272896 is an abundant number, since it is smaller than the sum of its proper divisors (334596991104).

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

113798272896 is a wasteful number, since it uses less digits than its factorization.

113798272896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 430 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 113798272896 in words is "one hundred thirteen billion, seven hundred ninety-eight million, two hundred seventy-two thousand, eight hundred ninety-six".