114216433968 has 240 divisors, whose sum is σ = 376614082656. Its totient is φ = 29554237440.

The previous prime is 114216433957. The next prime is 114216434011. The reversal of 114216433968 is 869334612411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1585288 + ... + 1655768.

Almost surely, 2^114216433968 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 114216433968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188307041328).

114216433968 is an abundant number, since it is smaller than the sum of its proper divisors (262397648688).

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

114216433968 is a wasteful number, since it uses less digits than its factorization.

114216433968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70572 (or 70559 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 114216433968 in words is "one hundred fourteen billion, two hundred sixteen million, four hundred thirty-three thousand, nine hundred sixty-eight".