114387213168800 has 864 divisors, whose sum is σ = 338646817716480. Its totient is φ = 37387572019200.

The previous prime is 114387213168799. The next prime is 114387213168803. The reversal of 114387213168800 is 8861312783411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114387213168803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8576675732 + ... + 8576689068.

It is an arithmetic number, because the mean of its divisors is an integer number (391952335320).

Almost surely, 2^{114387213168800} is an apocalyptic number.

114387213168800 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 114387213168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169323408858240).

114387213168800 is an abundant number, since it is smaller than the sum of its proper divisors (224259604547680).

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

114387213168800 is a wasteful number, since it uses less digits than its factorization.

114387213168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13546 (or 13520 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 53.

The spelling of 114387213168800 in words is "one hundred fourteen trillion, three hundred eighty-seven billion, two hundred thirteen million, one hundred sixty-eight thousand, eight hundred".