351615312666 has 80 divisors (see below), whose sum is σ = 816934041000. Its totient is φ = 112901548032.

The previous prime is 351615312617. The next prime is 351615312667. The reversal of 351615312666 is 666213516153.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 170049841641 + 181565471025 = 412371^2 + 426105^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (351615312667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1947810 + ... + 2120658.

Almost surely, 2^351615312666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351615312666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408467020500).

351615312666 is an abundant number, since it is smaller than the sum of its proper divisors (465318728334).

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

351615312666 is a wasteful number, since it uses less digits than its factorization.

351615312666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173325 (or 173316 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 351615312666 in words is "three hundred fifty-one billion, six hundred fifteen million, three hundred twelve thousand, six hundred sixty-six".