113376672000 has 1440 divisors, whose sum is σ = 466694452224. Its totient is φ = 27205632000.

The previous prime is 113376671963. The next prime is 113376672001. The reversal of 113376672000 is 276673311.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (113376672001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1365983959 + ... + 1365984041.

Almost surely, 2^113376672000 is an apocalyptic number.

113376672000 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 113376672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233347226112).

113376672000 is an abundant number, since it is smaller than the sum of its proper divisors (353317780224).

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

113376672000 is an equidigital number, since it uses as much as digits as its factorization.

113376672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 113376672000 in words is "one hundred thirteen billion, three hundred seventy-six million, six hundred seventy-two thousand".