114856789971000 has 6144 divisors, whose sum is σ = 542358739353600. Its totient is φ = 19543265280000.

The previous prime is 114856789970957. The next prime is 114856789971029. The reversal of 114856789971000 is 179987658411.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 904384172937 + ... + 904384173063.

It is an arithmetic number, because the mean of its divisors is an integer number (88274534400).

Almost surely, 2^{114856789971000} is an apocalyptic number.

114856789971000 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 114856789971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271179369676800).

114856789971000 is an abundant number, since it is smaller than the sum of its proper divisors (427501949382600).

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

114856789971000 is a wasteful number, since it uses less digits than its factorization.

114856789971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 66.

The spelling of 114856789971000 in words is "one hundred fourteen trillion, eight hundred fifty-six billion, seven hundred eighty-nine million, nine hundred seventy-one thousand".