114287609340 has 288 divisors, whose sum is σ = 369162393600. Its totient is φ = 29663698176.

The previous prime is 114287609329. The next prime is 114287609419. The reversal of 114287609340 is 43906782411.

114287609340 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 7 + 609 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72933237 + ... + 72934803.

Almost surely, 2^114287609340 is an apocalyptic number.

114287609340 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 114287609340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184581196800).

114287609340 is an abundant number, since it is smaller than the sum of its proper divisors (254874784260).

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

114287609340 is a wasteful number, since it uses less digits than its factorization.

114287609340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 114287609340 in words is "one hundred fourteen billion, two hundred eighty-seven million, six hundred nine thousand, three hundred forty".