114334600536 has 192 divisors, whose sum is σ = 336715142400. Its totient is φ = 34839465984.

The previous prime is 114334600519. The next prime is 114334600553. The reversal of 114334600536 is 635006433411.

114334600536 is a `hidden beast` number, since 1 + 1 + 43 + 3 + 4 + 600 + 5 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (114334600519) and next prime (114334600553).

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 114334600536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72963225 + ... + 72964791.

It is an arithmetic number, because the mean of its divisors is an integer number (1753724700).

Almost surely, 2^114334600536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114334600536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168357571200).

114334600536 is an abundant number, since it is smaller than the sum of its proper divisors (222380541864).

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

114334600536 is a wasteful number, since it uses less digits than its factorization.

114334600536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 114334600536 in words is "one hundred fourteen billion, three hundred thirty-four million, six hundred thousand, five hundred thirty-six".