114812488207200 has 576 divisors, whose sum is σ = 437224082867712. Its totient is φ = 25625637273600.

The previous prime is 114812488207177. The next prime is 114812488207223. The reversal of 114812488207200 is 2702884218411.

114812488207200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114812488207177) and next prime (114812488207223).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 114812488207200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187568844 + ... + 188179956.

It is an arithmetic number, because the mean of its divisors is an integer number (759069588312).

Almost surely, 2^{114812488207200} is an apocalyptic number.

114812488207200 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 114812488207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218612041433856).

114812488207200 is an abundant number, since it is smaller than the sum of its proper divisors (322411594660512).

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

114812488207200 is a wasteful number, since it uses less digits than its factorization.

114812488207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611407 (or 611394 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 114812488207200 in words is "one hundred fourteen trillion, eight hundred twelve billion, four hundred eighty-eight million, two hundred seven thousand, two hundred".