35309416464 has 135 divisors (see below), whose sum is σ = 115002175197. Its totient is φ = 10083894912.

The previous prime is 35309416453. The next prime is 35309416477. The reversal of 35309416464 is 46461490353.

The square root of 35309416464 is 187908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28083056400 + 7226360064 = 167580^2 + 85008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15783154 + ... + 15785390.

Almost surely, 2^35309416464 is an apocalyptic number.

35309416464 is the 187908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35309416464

35309416464 is an abundant number, since it is smaller than the sum of its proper divisors (79692758733).

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

35309416464 is an equidigital number, since it uses as much as digits as its factorization.

35309416464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 35309416464 in words is "thirty-five billion, three hundred nine million, four hundred sixteen thousand, four hundred sixty-four".