1014516164106 has 36 divisors (see below), whose sum is σ = 2335025393142. Its totient is φ = 318279579264.

The previous prime is 1014516164093. The next prime is 1014516164113. The reversal of 1014516164106 is 6014616154101.

1014516164106 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 1 + 6 + 1 + 641 + 0 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 914144419881 + 100371744225 = 956109^2 + 316815^2 .

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 17 ways as a sum of consecutive naturals, for example, 97506925 + ... + 97517328.

Almost surely, 2^{1014516164106} is an apocalyptic number.

1014516164106 is an abundant number, since it is smaller than the sum of its proper divisors (1320509229036).

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

1014516164106 is a wasteful number, since it uses less digits than its factorization.

1014516164106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195024295 (or 195024275 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1014516164106 in words is "one trillion, fourteen billion, five hundred sixteen million, one hundred sixty-four thousand, one hundred six".