114695749872 has 400 divisors, whose sum is σ = 387114723072. Its totient is φ = 32398755840.

The previous prime is 114695749871. The next prime is 114695749879. The reversal of 114695749872 is 278947596411.

114695749872 is a `hidden beast` number, since 1 + 1 + 469 + 57 + 49 + 87 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114695749871) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25929453 + ... + 25933875.

Almost surely, 2^114695749872 is an apocalyptic number.

114695749872 is a gapful number since it is divisible by the number (12) 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 114695749872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193557361536).

114695749872 is an abundant number, since it is smaller than the sum of its proper divisors (272418973200).

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

114695749872 is a wasteful number, since it uses less digits than its factorization.

114695749872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4563 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 114695749872 in words is "one hundred fourteen billion, six hundred ninety-five million, seven hundred forty-nine thousand, eight hundred seventy-two".