114529121280 has 264 divisors, whose sum is σ = 453533188992. Its totient is φ = 26178011136.

The previous prime is 114529121263. The next prime is 114529121321. The reversal of 114529121280 is 82121925411.

114529121280 is a `hidden beast` number, since 1 + 1 + 4 + 529 + 1 + 2 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145029 + ... + 500091.

Almost surely, 2^114529121280 is an apocalyptic number.

114529121280 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 114529121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226766594496).

114529121280 is an abundant number, since it is smaller than the sum of its proper divisors (339004067712).

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

114529121280 is a wasteful number, since it uses less digits than its factorization.

114529121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355101 (or 355080 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 114529121280 in words is "one hundred fourteen billion, five hundred twenty-nine million, one hundred twenty-one thousand, two hundred eighty".