114505075008 has 112 divisors (see below), whose sum is σ = 336864960000. Its totient is φ = 38141005824.

The previous prime is 114505075001. The next prime is 114505075021. The reversal of 114505075008 is 800570505411.

114505075008 is a `hidden beast` number, since 1 + 145 + 0 + 5 + 0 + 7 + 500 + 8 = 666.

It is a super-2 number, since 2×114505075008² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114505075001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2463568 + ... + 2509616.

Almost surely, 2^114505075008 is an apocalyptic number.

114505075008 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 114505075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168432480000).

114505075008 is an abundant number, since it is smaller than the sum of its proper divisors (222359884992).

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

114505075008 is a wasteful number, since it uses less digits than its factorization.

114505075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47509 (or 47493 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 114505075008 in words is "one hundred fourteen billion, five hundred five million, seventy-five thousand, eight".