114288662016 has 240 divisors, whose sum is σ = 343130371584. Its totient is φ = 37977237504.

The previous prime is 114288661999. The next prime is 114288662051. The reversal of 114288662016 is 610266882411.

It is a happy number.

114288662016 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 8 + 6 + 620 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45659421 + ... + 45661923.

Almost surely, 2^114288662016 is an apocalyptic number.

114288662016 is a gapful number since it is divisible by the number (16) 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 114288662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171565185792).

114288662016 is an abundant number, since it is smaller than the sum of its proper divisors (228841709568).

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

114288662016 is an frugal number, since it uses more digits than its factorization.

114288662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 114288662016 in words is "one hundred fourteen billion, two hundred eighty-eight million, six hundred sixty-two thousand, sixteen".