114671386368 has 540 divisors, whose sum is σ = 429596841520. Its totient is φ = 29780213760.

The previous prime is 114671386307. The next prime is 114671386369. The reversal of 114671386368 is 863683176411.

114671386368 is a `hidden beast` number, since 1 + 146 + 7 + 138 + 6 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114671386369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17560128 + ... + 17566656.

Almost surely, 2^114671386368 is an apocalyptic number.

114671386368 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 114671386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214798420760).

114671386368 is an abundant number, since it is smaller than the sum of its proper divisors (314925455152).

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

114671386368 is an equidigital number, since it uses as much as digits as its factorization.

114671386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6552 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 114671386368 in words is "one hundred fourteen billion, six hundred seventy-one million, three hundred eighty-six thousand, three hundred sixty-eight".