464769569005225 has 81 divisors (see below), whose sum is σ = 635500867162287. Its totient is φ = 336933719232000.

The previous prime is 464769569005213. The next prime is 464769569005237. The reversal of 464769569005225 is 522500965967464.

The square root of 464769569005225 is 21558515.

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

It is an interprime number because it is at equal distance from previous prime (464769569005213) and next prime (464769569005237).

It can be written as a sum of positive squares in 13 ways, for example, as 105680106486889 + 359089462518336 = 10280083^2 + 18949656^2 .

It is not a de Polignac number, because 464769569005225 - 2¹¹ = 464769569003177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 703130966395 + ... + 703130967055.

Almost surely, 2^{464769569005225} is an apocalyptic number.

464769569005225 is the 21558515-th square number.

464769569005225 is the 10779258-th centered octagonal number.

It is an amenable number.

464769569005225 is a deficient number, since it is larger than the sum of its proper divisors (170731298157062).

464769569005225 is an frugal number, since it uses more digits than its factorization.

464769569005225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 70.

The spelling of 464769569005225 in words is "four hundred sixty-four trillion, seven hundred sixty-nine billion, five hundred sixty-nine million, five thousand, two hundred twenty-five".