114008175216 has 400 divisors, whose sum is σ = 385050292704. Its totient is φ = 32244645888.

The previous prime is 114008175181. The next prime is 114008175247. The reversal of 114008175216 is 612571800411.

114008175216 is a `hidden beast` number, since 11 + 40 + 0 + 81 + 7 + 521 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12311260 + ... + 12320516.

Almost surely, 2^114008175216 is an apocalyptic number.

114008175216 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 114008175216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192525146352).

114008175216 is an abundant number, since it is smaller than the sum of its proper divisors (271042117488).

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

114008175216 is a wasteful number, since it uses less digits than its factorization.

114008175216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9350 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 114008175216 its reverse (612571800411), we get a palindrome (726579975627).

The spelling of 114008175216 in words is "one hundred fourteen billion, eight million, one hundred seventy-five thousand, two hundred sixteen".