113268672000 has 1280 divisors, whose sum is σ = 468805708800. Its totient is φ = 26726400000.

The previous prime is 113268671993. The next prime is 113268672001. The reversal of 113268672000 is 276862311.

113268672000 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 (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113268672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1121471950 + ... + 1121472050.

It is an arithmetic number, because the mean of its divisors is an integer number (366254460).

Almost surely, 2^113268672000 is an apocalyptic number.

113268672000 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 113268672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234402854400).

113268672000 is an abundant number, since it is smaller than the sum of its proper divisors (355537036800).

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

113268672000 is a wasteful number, since it uses less digits than its factorization.

113268672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 113268672000 in words is "one hundred thirteen billion, two hundred sixty-eight million, six hundred seventy-two thousand".