869785672952641 has 15 divisors (see below), whose sum is σ = 898807784944355. Its totient is φ = 841700642919360.

The previous prime is 869785672952639. The next prime is 869785672952659. The reversal of 869785672952641 is 146259276587968.

The square root of 869785672952641 is 29492129.

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., 862545268312641 + 7240404640000 = 29369121^2 + 2690800^2 .

It is not a de Polignac number, because 869785672952641 - 2¹ = 869785672952639 is a prime.

It is a Duffinian number.

Its product of digits (21946982400) is a multiple of the sum of its prime divisors (30720).

It is not an unprimeable number, because it can be changed into a prime (869785672952341) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28341920625 + ... + 28341951313.

Almost surely, 2^{869785672952641} is an apocalyptic number.

869785672952641 is the 29492129-th square number.

869785672952641 is the 14746065-th centered octagonal number.

It is an amenable number.

869785672952641 is a deficient number, since it is larger than the sum of its proper divisors (29022111991714).

869785672952641 is an frugal number, since it uses more digits than its factorization.

869785672952641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61502 (or 30720 counting only the distinct ones).

The product of its digits is 21946982400, while the sum is 85.

The spelling of 869785672952641 in words is "eight hundred sixty-nine trillion, seven hundred eighty-five billion, six hundred seventy-two million, nine hundred fifty-two thousand, six hundred forty-one".