114540051230000 has 400 divisors, whose sum is σ = 304370585360160. Its totient is φ = 41397350400000.

The previous prime is 114540051229991. The next prime is 114540051230021. The reversal of 114540051230000 is 32150045411.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12827865536 + ... + 12827874464.

Almost surely, 2^{114540051230000} is an apocalyptic number.

114540051230000 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 114540051230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152185292680080).

114540051230000 is an abundant number, since it is smaller than the sum of its proper divisors (189830534130160).

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

114540051230000 is a wasteful number, since it uses less digits than its factorization.

114540051230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9666 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 114540051230000 in words is "one hundred fourteen trillion, five hundred forty billion, fifty-one million, two hundred thirty thousand".