114540714706000 has 80 divisors (see below), whose sum is σ = 302137579867968. Its totient is φ = 41651168976000.

The previous prime is 114540714705973. The next prime is 114540714706009. The reversal of 114540714706000 is 607417045411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×114540714706000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114540714706009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603176062 + ... + 2603220061.

Almost surely, 2^{114540714706000} is an apocalyptic number.

114540714706000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114540714706000 is an abundant number, since it is smaller than the sum of its proper divisors (187596865161968).

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

114540714706000 is a wasteful number, since it uses less digits than its factorization.

114540714706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206396157 (or 5206396141 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 114540714706000 in words is "one hundred fourteen trillion, five hundred forty billion, seven hundred fourteen million, seven hundred six thousand".