114302113984 has 112 divisors (see below), whose sum is σ = 245220134400. Its totient is φ = 52690369536.

The previous prime is 114302113963. The next prime is 114302113987. The reversal of 114302113984 is 489311203411.

It is a happy number.

It is a super-2 number, since 2×114302113984² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114302113987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10224622 + ... + 10235794.

Almost surely, 2^114302113984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114302113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122610067200).

114302113984 is an abundant number, since it is smaller than the sum of its proper divisors (130918020416).

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

114302113984 is a wasteful number, since it uses less digits than its factorization.

114302113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11430 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 114302113984 in words is "one hundred fourteen billion, three hundred two million, one hundred thirteen thousand, nine hundred eighty-four".