114286869840 has 320 divisors, whose sum is σ = 427482139392. Its totient is φ = 24883200000.

The previous prime is 114286869817. The next prime is 114286869887. The reversal of 114286869840 is 48968682411.

It is a happy number.

It is a super-2 number, since 2×114286869840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224840 + ... + 1314840.

Almost surely, 2^114286869840 is an apocalyptic number.

114286869840 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 114286869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213741069696).

114286869840 is an abundant number, since it is smaller than the sum of its proper divisors (313195269552).

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

114286869840 is a wasteful number, since it uses less digits than its factorization.

114286869840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90078 (or 90072 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 114286869840 in words is "one hundred fourteen billion, two hundred eighty-six million, eight hundred sixty-nine thousand, eight hundred forty".