114132471705 has 96 divisors (see below), whose sum is σ = 238545565440. Its totient is φ = 49313525760.

The previous prime is 114132471653. The next prime is 114132471769. The reversal of 114132471705 is 507174231411.

114132471705 is a `hidden beast` number, since 114 + 1 + 3 + 2 + 471 + 70 + 5 = 666.

It is not a de Polignac number, because 114132471705 - 2⁶ = 114132471641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114132471705.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2569485 + ... + 2613525.

It is an arithmetic number, because the mean of its divisors is an integer number (2484849640).

Almost surely, 2^114132471705 is an apocalyptic number.

114132471705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114132471705 is an abundant number, since it is smaller than the sum of its proper divisors (124413093735).

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

114132471705 is a wasteful number, since it uses less digits than its factorization.

114132471705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44511 (or 44508 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 114132471705 in words is "one hundred fourteen billion, one hundred thirty-two million, four hundred seventy-one thousand, seven hundred five".