1612271716506 has 32 divisors (see below), whose sum is σ = 3908537496000. Its totient is φ = 488567186640.

The previous prime is 1612271716459. The next prime is 1612271716513. The reversal of 1612271716506 is 6056171722161.

1612271716506 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 2 + 71 + 71 + 6 + 506 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1357130481 + ... + 1357131668.

It is an arithmetic number, because the mean of its divisors is an integer number (122141796750).

Almost surely, 2^{1612271716506} is an apocalyptic number.

1612271716506 is an abundant number, since it is smaller than the sum of its proper divisors (2296265779494).

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

1612271716506 is a wasteful number, since it uses less digits than its factorization.

1612271716506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714262171 (or 2714262165 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1612271716506 in words is "one trillion, six hundred twelve billion, two hundred seventy-one million, seven hundred sixteen thousand, five hundred six".