114148210176 has 1280 divisors, whose sum is σ = 463950305280. Its totient is φ = 26754416640.

The previous prime is 114148210139. The next prime is 114148210201. The reversal of 114148210176 is 671012841411.

It is a happy number.

114148210176 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 482 + 1 + 0 + 176 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114148210176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1010161096 + ... + 1010161208.

It is an arithmetic number, because the mean of its divisors is an integer number (362461176).

Almost surely, 2^114148210176 is an apocalyptic number.

114148210176 is a gapful number since it is divisible by the number (16) 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 114148210176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231975152640).

114148210176 is an abundant number, since it is smaller than the sum of its proper divisors (349802095104).

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

114148210176 is a wasteful number, since it uses less digits than its factorization.

114148210176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 114148210176 in words is "one hundred fourteen billion, one hundred forty-eight million, two hundred ten thousand, one hundred seventy-six".