113667667200 has 864 divisors, whose sum is σ = 444815280000. Its totient is φ = 28320399360.

The previous prime is 113667667187. The next prime is 113667667283. The reversal of 113667667200 is 2766766311.

113667667200 is a `hidden beast` number, since 11 + 366 + 76 + 6 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292204606 + ... + 292204994.

It is an arithmetic number, because the mean of its divisors is an integer number (514832500).

Almost surely, 2^113667667200 is an apocalyptic number.

113667667200 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 113667667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222407640000).

113667667200 is an abundant number, since it is smaller than the sum of its proper divisors (331147612800).

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

113667667200 is a wasteful number, since it uses less digits than its factorization.

113667667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 113667667200 in words is "one hundred thirteen billion, six hundred sixty-seven million, six hundred sixty-seven thousand, two hundred".