1516681818306 has 16 divisors (see below), whose sum is σ = 3370404040800. Its totient is φ = 505560606084.

The previous prime is 1516681818259. The next prime is 1516681818313. The reversal of 1516681818306 is 6038181866151.

It is a happy number.

1516681818306 is a `hidden beast` number, since 1 + 516 + 6 + 81 + 8 + 18 + 30 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 28086700339 = 1516681818306 / (1 + 5 + 1 + 6 + 6 + 8 + 1 + 8 + 1 + 8 + 3 + 0 + 6).

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 7 ways as a sum of consecutive naturals, for example, 14043350116 + ... + 14043350223.

It is an arithmetic number, because the mean of its divisors is an integer number (210650252550).

Almost surely, 2^{1516681818306} is an apocalyptic number.

1516681818306 is an abundant number, since it is smaller than the sum of its proper divisors (1853722222494).

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

1516681818306 is a wasteful number, since it uses less digits than its factorization.

1516681818306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28086700350 (or 28086700344 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1516681818306 in words is "one trillion, five hundred sixteen billion, six hundred eighty-one million, eight hundred eighteen thousand, three hundred six".