65213667948004 has 9 divisors (see below), whose sum is σ = 114123947173257. Its totient is φ = 32606825898504.

The previous prime is 65213667947999. The next prime is 65213667948019. The reversal of 65213667948004 is 40084976631256.

The square root of 65213667948004 is 8075498.

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., 6185178948004 + 59028489000000 = 2487002^2 + 7683000^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14132122 + ... + 18169870.

It is a 2-persistent number, because it is pandigital, and so is 2⋅65213667948004 = 130427335896008, but 3⋅65213667948004 = 195641003844012 is not.

Almost surely, 2^{65213667948004} is an apocalyptic number.

65213667948004 is the 8075498-th square number.

It is an amenable number.

65213667948004 is a deficient number, since it is larger than the sum of its proper divisors (48910279225253).

65213667948004 is an frugal number, since it uses more digits than its factorization.

65213667948004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8075502 (or 4037751 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 65213667948004 in words is "sixty-five trillion, two hundred thirteen billion, six hundred sixty-seven million, nine hundred forty-eight thousand, four".