114142496160000 has 2880 divisors, whose sum is σ = 503484521379840. Its totient is φ = 22217687040000.

The previous prime is 114142496159959. The next prime is 114142496160041. The reversal of 114142496160000 is 61694241411.

It is an interprime number because it is at equal distance from previous prime (114142496159959) and next prime (114142496160041).

It is a super-2 number, since 2×114142496160000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 244416479767 + ... + 244416480233.

It is an arithmetic number, because the mean of its divisors is an integer number (174821014368).

Almost surely, 2^{114142496160000} is an apocalyptic number.

114142496160000 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 114142496160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251742260689920).

114142496160000 is an abundant number, since it is smaller than the sum of its proper divisors (389342025219840).

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

114142496160000 is a wasteful number, since it uses less digits than its factorization.

114142496160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 114142496160000 in words is "one hundred fourteen trillion, one hundred forty-two billion, four hundred ninety-six million, one hundred sixty thousand".