113667080400 has 180 divisors, whose sum is σ = 396820456032. Its totient is φ = 30129557760.

The previous prime is 113667080381. The next prime is 113667080453. The reversal of 113667080400 is 4080766311.

113667080400 is a `hidden beast` number, since 113 + 6 + 67 + 0 + 80 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 506667 + ... + 695733.

Almost surely, 2^113667080400 is an apocalyptic number.

113667080400 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 113667080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198410228016).

113667080400 is an abundant number, since it is smaller than the sum of its proper divisors (283153375632).

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

113667080400 is a wasteful number, since it uses less digits than its factorization.

113667080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189258 (or 189244 counting only the distinct ones).

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

The spelling of 113667080400 in words is "one hundred thirteen billion, six hundred sixty-seven million, eighty thousand, four hundred".