364848616729 has 9 divisors (see below), whose sum is σ = 387583660351. Its totient is φ = 343377268960.

The previous prime is 364848616723. The next prime is 364848616747. The reversal of 364848616729 is 927616848463.

The square root of 364848616729 is 604027.

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., 284051691225 + 80796925504 = 532965^2 + 284248^2 .

It is not a de Polignac number, because 364848616729 - 2⁵ = 364848616697 is a prime.

It is a super-2 number, since 2×364848616729² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (364848616723) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10250694 + ... + 10286224.

Almost surely, 2^364848616729 is an apocalyptic number.

364848616729 is the 604027-th square number.

364848616729 is the 302014-th centered octagonal number.

It is an amenable number.

364848616729 is a deficient number, since it is larger than the sum of its proper divisors (22735043622).

364848616729 is an frugal number, since it uses more digits than its factorization.

364848616729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71096 (or 35548 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 64.

Multiplying 364848616729 by its sum of digits (64), we get a square (23350311470656 = 4832216²).

The spelling of 364848616729 in words is "three hundred sixty-four billion, eight hundred forty-eight million, six hundred sixteen thousand, seven hundred twenty-nine".