114897261168 has 120 divisors (see below), whose sum is σ = 338615011280. Its totient is φ = 36268508160.

The previous prime is 114897261137. The next prime is 114897261211. The reversal of 114897261168 is 861162798411.

114897261168 is a `hidden beast` number, since 1 + 14 + 8 + 9 + 7 + 2 + 611 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8072298 + ... + 8086518.

Almost surely, 2^114897261168 is an apocalyptic number.

114897261168 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 114897261168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169307505640).

114897261168 is an abundant number, since it is smaller than the sum of its proper divisors (223717750112).

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

114897261168 is a wasteful number, since it uses less digits than its factorization.

114897261168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17207 (or 17198 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 114897261168 in words is "one hundred fourteen billion, eight hundred ninety-seven million, two hundred sixty-one thousand, one hundred sixty-eight".