114109971408 has 120 divisors (see below), whose sum is σ = 325113834240. Its totient is φ = 37351480320.

The previous prime is 114109971401. The next prime is 114109971419. The reversal of 114109971408 is 804179901411.

114109971408 is a `hidden beast` number, since 1 + 1 + 410 + 9 + 97 + 140 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114109971401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8412760 + ... + 8426312.

It is an arithmetic number, because the mean of its divisors is an integer number (2709281952).

Almost surely, 2^114109971408 is an apocalyptic number.

114109971408 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 114109971408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162556917120).

114109971408 is an abundant number, since it is smaller than the sum of its proper divisors (211003862832).

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

114109971408 is a wasteful number, since it uses less digits than its factorization.

114109971408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14617 (or 14608 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 114109971408 in words is "one hundred fourteen billion, one hundred nine million, nine hundred seventy-one thousand, four hundred eight".