114418491408 has 200 divisors, whose sum is σ = 361660977216. Its totient is φ = 34709472000.

The previous prime is 114418491401. The next prime is 114418491427. The reversal of 114418491408 is 804194814411.

114418491408 is a `hidden beast` number, since 1 + 1 + 441 + 84 + 91 + 40 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (114418491401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1148383 + ... + 1244033.

Almost surely, 2^114418491408 is an apocalyptic number.

114418491408 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 114418491408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180830488608).

114418491408 is an abundant number, since it is smaller than the sum of its proper divisors (247242485808).

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

114418491408 is a wasteful number, since it uses less digits than its factorization.

114418491408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95755 (or 95740 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 114418491408 in words is "one hundred fourteen billion, four hundred eighteen million, four hundred ninety-one thousand, four hundred eight".