35360663450216 has 64 divisors (see below), whose sum is σ = 72168825128400. Its totient is φ = 16145348198400.

The previous prime is 35360663450183. The next prime is 35360663450249. The reversal of 35360663450216 is 61205436606353.

It is an interprime number because it is at equal distance from previous prime (35360663450183) and next prime (35360663450249).

It can be written as a sum of positive squares in 8 ways, for example, as 12883146276100 + 22477517174116 = 3589310^2 + 4741046^2 .

It is a super-2 number, since 2×35360663450216² (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4833206 + ... + 9699546.

Almost surely, 2^{35360663450216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35360663450216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36084412564200).

35360663450216 is an abundant number, since it is smaller than the sum of its proper divisors (36808161678184).

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

35360663450216 is a wasteful number, since it uses less digits than its factorization.

35360663450216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867110 (or 4867106 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 50.

The spelling of 35360663450216 in words is "thirty-five trillion, three hundred sixty billion, six hundred sixty-three million, four hundred fifty thousand, two hundred sixteen".