16314086880 has 1344 divisors, whose sum is σ = 74962661760. Its totient is φ = 3260694528.

The previous prime is 16314086863. The next prime is 16314086897. The reversal of 16314086880 is 8868041361.

It is a happy number.

16314086880 is a `hidden beast` number, since 1 + 631 + 4 + 0 + 8 + 6 + 8 + 8 + 0 = 666.

16314086880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16314086863) and next prime (16314086897).

It is a super-2 number, since 2×16314086880² (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 307812934 + ... + 307812986.

It is an arithmetic number, because the mean of its divisors is an integer number (55775790).

Almost surely, 2^16314086880 is an apocalyptic number.

16314086880 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 16314086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37481330880).

16314086880 is an abundant number, since it is smaller than the sum of its proper divisors (58648574880).

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

16314086880 is a wasteful number, since it uses less digits than its factorization.

16314086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 16314086880 in words is "sixteen billion, three hundred fourteen million, eighty-six thousand, eight hundred eighty".