114000009984 has 216 divisors, whose sum is σ = 392158937520. Its totient is φ = 32571334656.

The previous prime is 114000009947. The next prime is 114000010039. The reversal of 114000009984 is 489900000411.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170392 + ... + 506984.

Almost surely, 2^114000009984 is an apocalyptic number.

114000009984 is a gapful number since it is divisible by the number (14) 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 114000009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196079468760).

114000009984 is an abundant number, since it is smaller than the sum of its proper divisors (278158927536).

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

114000009984 is an equidigital number, since it uses as much as digits as its factorization.

114000009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336632 (or 336605 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 114000009984 in words is "one hundred fourteen billion, nine thousand, nine hundred eighty-four".