114250143744 has 288 divisors, whose sum is σ = 363026074320. Its totient is φ = 34613821440.

The previous prime is 114250143743. The next prime is 114250143757. The reversal of 114250143744 is 447341052411.

114250143744 is a `hidden beast` number, since 1 + 1 + 42 + 501 + 43 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 114250143699 and 114250143708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114250143743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24530664 + ... + 24535320.

Almost surely, 2^114250143744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114250143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181513037160).

114250143744 is an abundant number, since it is smaller than the sum of its proper divisors (248775930576).

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

114250143744 is an equidigital number, since it uses as much as digits as its factorization.

114250143744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 114250143744 in words is "one hundred fourteen billion, two hundred fifty million, one hundred forty-three thousand, seven hundred forty-four".