114236813572200 has 1152 divisors, whose sum is σ = 442450861332480. Its totient is φ = 26143770470400.

The previous prime is 114236813572171. The next prime is 114236813572213. The reversal of 114236813572200 is 2275318632411.

114236813572200 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 3 + 68 + 13 + 572 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×114236813572200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14400199434 + ... + 14400207366.

It is an arithmetic number, because the mean of its divisors is an integer number (384071928240).

Almost surely, 2^{114236813572200} is an apocalyptic number.

114236813572200 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 114236813572200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221225430666240).

114236813572200 is an abundant number, since it is smaller than the sum of its proper divisors (328214047760280).

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

114236813572200 is a wasteful number, since it uses less digits than its factorization.

114236813572200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 114236813572200 in words is "one hundred fourteen trillion, two hundred thirty-six billion, eight hundred thirteen million, five hundred seventy-two thousand, two hundred".