65617945600 has 99 divisors (see below), whose sum is σ = 162754703971. Its totient is φ = 26230784000.

The previous prime is 65617945597. The next prime is 65617945619. The reversal of 65617945600 is 654971656.

The square root of 65617945600 is 256160.

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 20524573696 + 45093371904 = 143264^2 + 212352^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 40984800 + ... + 40986400.

Almost surely, 2^65617945600 is an apocalyptic number.

65617945600 is the 256160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65617945600

65617945600 is an abundant number, since it is smaller than the sum of its proper divisors (97136758371).

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

65617945600 is an frugal number, since it uses more digits than its factorization.

65617945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

Multiplying 65617945600 by its sum of digits (49), we get a square (3215279334400 = 1793120²).

The spelling of 65617945600 in words is "sixty-five billion, six hundred seventeen million, nine hundred forty-five thousand, six hundred".