114339720000 has 1120 divisors, whose sum is σ = 447912622080. Its totient is φ = 25436160000.

The previous prime is 114339719999. The next prime is 114339720029. The reversal of 114339720000 is 27933411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 114339720000.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1178759952 + ... + 1178760048.

It is an arithmetic number, because the mean of its divisors is an integer number (399921984).

Almost surely, 2^114339720000 is an apocalyptic number.

114339720000 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 114339720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223956311040).

114339720000 is an abundant number, since it is smaller than the sum of its proper divisors (333572902080).

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

114339720000 is a wasteful number, since it uses less digits than its factorization.

114339720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 114339720000 in words is "one hundred fourteen billion, three hundred thirty-nine million, seven hundred twenty thousand".