114830196480 has 432 divisors, whose sum is σ = 432905219040. Its totient is φ = 28817620992.

The previous prime is 114830196473. The next prime is 114830196491. The reversal of 114830196480 is 84691038411.

114830196480 is a `hidden beast` number, since 1 + 1 + 4 + 83 + 0 + 1 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9982092 + ... + 9993588.

Almost surely, 2^114830196480 is an apocalyptic number.

114830196480 is a gapful number since it is divisible by the number (10) 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 114830196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216452609520).

114830196480 is an abundant number, since it is smaller than the sum of its proper divisors (318075022560).

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

114830196480 is a wasteful number, since it uses less digits than its factorization.

114830196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11561 (or 11524 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 114830196480 in words is "one hundred fourteen billion, eight hundred thirty million, one hundred ninety-six thousand, four hundred eighty".