350710166016 has 560 divisors, whose sum is σ = 1207590120000. Its totient is φ = 99630342144.

The previous prime is 350710166011. The next prime is 350710166057. The reversal of 350710166016 is 610661017053.

350710166016 is a `hidden beast` number, since 35 + 0 + 7 + 1 + 0 + 16 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (350710166011) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 702825735 + ... + 702826233.

Almost surely, 2^350710166016 is an apocalyptic number.

350710166016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350710166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603795060000).

350710166016 is an abundant number, since it is smaller than the sum of its proper divisors (856879953984).

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

350710166016 is an frugal number, since it uses more digits than its factorization.

350710166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 350710166016 in words is "three hundred fifty billion, seven hundred ten million, one hundred sixty-six thousand, sixteen".