35009445266884 has 81 divisors (see below), whose sum is σ = 68480154722343. Its totient is φ = 15648958934400.

The previous prime is 35009445266867. The next prime is 35009445266959. The reversal of 35009445266884 is 48866254490053.

It is a happy number.

The square root of 35009445266884 is 5916878.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28134771025284 + 6874674241600 = 5304222^2 + 2621960^2 .

It is a super-2 number, since 2×35009445266884² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 7940448072 + ... + 7940452480.

Almost surely, 2^{35009445266884} is an apocalyptic number.

35009445266884 is the 5916878-th square number.

It is an amenable number.

35009445266884 is a deficient number, since it is larger than the sum of its proper divisors (33470709455459).

35009445266884 is an frugal number, since it uses more digits than its factorization.

35009445266884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 64.

The spelling of 35009445266884 in words is "thirty-five trillion, nine billion, four hundred forty-five million, two hundred sixty-six thousand, eight hundred eighty-four".