114143712480 has 432 divisors, whose sum is σ = 458867747520. Its totient is φ = 25758480384.

The previous prime is 114143712457. The next prime is 114143712491. The reversal of 114143712480 is 84217341411.

114143712480 is a `hidden beast` number, since 1 + 1 + 41 + 4 + 371 + 248 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5564002 + ... + 5584478.

It is an arithmetic number, because the mean of its divisors is an integer number (1062193860).

Almost surely, 2^114143712480 is an apocalyptic number.

114143712480 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 114143712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229433873760).

114143712480 is an abundant number, since it is smaller than the sum of its proper divisors (344724035040).

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

114143712480 is a wasteful number, since it uses less digits than its factorization.

114143712480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20591 (or 20573 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 114143712480 in words is "one hundred fourteen billion, one hundred forty-three million, seven hundred twelve thousand, four hundred eighty".