16814385957120 has 144 divisors (see below), whose sum is σ = 53702871395712. Its totient is φ = 4483675422720.

The previous prime is 16814385957073. The next prime is 16814385957143. The reversal of 16814385957120 is 2175958341861.

It is a happy number.

It is a super-2 number, since 2×16814385957120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 15 ways as a sum of consecutive naturals, for example, 139105029 + ... + 139225851.

It is a 1-persistent number, because it is pandigital, but 2⋅16814385957120 = 33628771914240 is not.

Almost surely, 2^{16814385957120} is an apocalyptic number.

16814385957120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16814385957120 is an abundant number, since it is smaller than the sum of its proper divisors (36888485438592).

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

16814385957120 is a wasteful number, since it uses less digits than its factorization.

16814385957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157088 (or 157074 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 16814385957120 in words is "sixteen trillion, eight hundred fourteen billion, three hundred eighty-five million, nine hundred fifty-seven thousand, one hundred twenty".