114671137536 has 180 divisors, whose sum is σ = 356796527472. Its totient is φ = 36561659904.

The previous prime is 114671137531. The next prime is 114671137541. The reversal of 114671137536 is 635731176411.

114671137536 is a `hidden beast` number, since 1 + 1 + 46 + 71 + 1 + 3 + 7 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (114671137531) and next prime (114671137541).

It is a junction number, because it is equal to n+sod(n) for n = 114671137491 and 114671137500.

It is not an unprimeable number, because it can be changed into a prime (114671137531) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 356710 + ... + 597146.

Almost surely, 2^114671137536 is an apocalyptic number.

114671137536 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 114671137536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178398263736).

114671137536 is an abundant number, since it is smaller than the sum of its proper divisors (242125389936).

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

114671137536 is an equidigital number, since it uses as much as digits as its factorization.

114671137536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240488 (or 240465 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 114671137536 in words is "one hundred fourteen billion, six hundred seventy-one million, one hundred thirty-seven thousand, five hundred thirty-six".