114520866152000 has 896 divisors, whose sum is σ = 372671822315520. Its totient is φ = 33773552640000.

The previous prime is 114520866151999. The next prime is 114520866152023. The reversal of 114520866152000 is 251668025411.

It is a super-3 number, since 3×114520866152000³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9983506265 + ... + 9983517735.

It is an arithmetic number, because the mean of its divisors is an integer number (415928373120).

Almost surely, 2^{114520866152000} is an apocalyptic number.

114520866152000 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 114520866152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186335911157760).

114520866152000 is an abundant number, since it is smaller than the sum of its proper divisors (258150956163520).

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

114520866152000 is a wasteful number, since it uses less digits than its factorization.

114520866152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12388 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 114520866152000 in words is "one hundred fourteen trillion, five hundred twenty billion, eight hundred sixty-six million, one hundred fifty-two thousand".