114244253640 has 192 divisors, whose sum is σ = 406254476160. Its totient is φ = 27613071360.

The previous prime is 114244253567. The next prime is 114244253657. The reversal of 114244253640 is 46352442411.

114244253640 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 4 + 2 + 5 + 3 + 640 = 666.

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 = 114244253595 and 114244253604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1291717 + ... + 1377323.

It is an arithmetic number, because the mean of its divisors is an integer number (2115908730).

Almost surely, 2^114244253640 is an apocalyptic number.

114244253640 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 114244253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203127238080).

114244253640 is an abundant number, since it is smaller than the sum of its proper divisors (292010222520).

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

114244253640 is a wasteful number, since it uses less digits than its factorization.

114244253640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85972 (or 85965 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 114244253640 in words is "one hundred fourteen billion, two hundred forty-four million, two hundred fifty-three thousand, six hundred forty".