114755514654720 has 448 divisors, whose sum is σ = 371284675467264. Its totient is φ = 30261510144000.

The previous prime is 114755514654713. The next prime is 114755514654749. The reversal of 114755514654720 is 27456415557411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9505130604 + ... + 9505142676.

Almost surely, 2^{114755514654720} is an apocalyptic number.

114755514654720 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 114755514654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185642337733632).

114755514654720 is an abundant number, since it is smaller than the sum of its proper divisors (256529160812544).

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

114755514654720 is a wasteful number, since it uses less digits than its factorization.

114755514654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12961 (or 12937 counting only the distinct ones).

The product of its (nonzero) digits is 23520000, while the sum is 57.

The spelling of 114755514654720 in words is "one hundred fourteen trillion, seven hundred fifty-five billion, five hundred fourteen million, six hundred fifty-four thousand, seven hundred twenty".