895686209649 has 243 divisors, whose sum is σ = 1764607332033. Its totient is φ = 436104345600.

The previous prime is 895686209641. The next prime is 895686209681. The reversal of 895686209649 is 946902686598.

The square root of 895686209649 is 946407.

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 252430880625 + 643255329024 = 502425^2 + 802032^2 .

It is not a de Polignac number, because 895686209649 - 2³ = 895686209641 is a prime.

It is a super-4 number, since 4×895686209649⁴ (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (895686209641) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3716540169 + ... + 3716540409.

Almost surely, 2^895686209649 is an apocalyptic number.

895686209649 is the 946407-th square number.

895686209649 is the 473204-th centered octagonal number.

It is an amenable number.

895686209649 is a deficient number, since it is larger than the sum of its proper divisors (868921122384).

895686209649 is a wasteful number, since it uses less digits than its factorization.

895686209649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 895686209649 in words is "eight hundred ninety-five billion, six hundred eighty-six million, two hundred nine thousand, six hundred forty-nine".