114638916000 has 384 divisors, whose sum is σ = 429947481600. Its totient is φ = 26158080000.

The previous prime is 114638915987. The next prime is 114638916013. The reversal of 114638916000 is 619836411.

114638916000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114638915987) and next prime (114638916013).

It is a self number, because there is not a number n which added to its sum of digits gives 114638916000.

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 63 ways as a sum of consecutive naturals, for example, 88115350 + ... + 88116650.

It is an arithmetic number, because the mean of its divisors is an integer number (1119654900).

Almost surely, 2^114638916000 is an apocalyptic number.

114638916000 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 114638916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214973740800).

114638916000 is an abundant number, since it is smaller than the sum of its proper divisors (315308565600).

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

114638916000 is a wasteful number, since it uses less digits than its factorization.

114638916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 114638916000 in words is "one hundred fourteen billion, six hundred thirty-eight million, nine hundred sixteen thousand".