114681971088 has 240 divisors, whose sum is σ = 338721177600. Its totient is φ = 36151315200.

The previous prime is 114681971087. The next prime is 114681971099. The reversal of 114681971088 is 880179186411.

114681971088 is a `hidden beast` number, since 1 + 1 + 468 + 1 + 97 + 10 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (114681971087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125885353 + ... + 125886263.

It is an arithmetic number, because the mean of its divisors is an integer number (1411338240).

Almost surely, 2^114681971088 is an apocalyptic number.

114681971088 is a gapful number since it is divisible by the number (18) 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 114681971088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169360588800).

114681971088 is an abundant number, since it is smaller than the sum of its proper divisors (224039206512).

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

114681971088 is a wasteful number, since it uses less digits than its factorization.

114681971088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 114681971088 in words is "one hundred fourteen billion, six hundred eighty-one million, nine hundred seventy-one thousand, eighty-eight".