114104720250 has 224 divisors, whose sum is σ = 326329804944. Its totient is φ = 29851286400.

The previous prime is 114104720183. The next prime is 114104720281. The reversal of 114104720250 is 52027401411.

114104720250 is a `hidden beast` number, since 1 + 1 + 410 + 47 + 202 + 5 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6434767089 + 107669953161 = 80217^2 + 328131^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9653344 + ... + 9665156.

Almost surely, 2^114104720250 is an apocalyptic number.

114104720250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114104720250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163164902472).

114104720250 is an abundant number, since it is smaller than the sum of its proper divisors (212225084694).

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

114104720250 is an equidigital number, since it uses as much as digits as its factorization.

114104720250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901 (or 11876 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 114104720250 in words is "one hundred fourteen billion, one hundred four million, seven hundred twenty thousand, two hundred fifty".