435749172769 has 9 divisors (see below), whose sum is σ = 440759668377. Its totient is φ = 430795024704.

The previous prime is 435749172767. The next prime is 435749172841. The reversal of 435749172769 is 967271947534.

The square root of 435749172769 is 660113.

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 33005025 + 435716167744 = 5745^2 + 660088^2 .

It is not a de Polignac number, because 435749172769 - 2¹ = 435749172767 is a prime.

It is a super-2 number, since 2×435749172769² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 435749172769.

It is not an unprimeable number, because it can be changed into a prime (435749172763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58746349 + ... + 58753765.

Almost surely, 2^435749172769 is an apocalyptic number.

435749172769 is the 660113-rd square number.

435749172769 is the 330057-th centered octagonal number.

It is an amenable number.

435749172769 is a deficient number, since it is larger than the sum of its proper divisors (5010495608).

435749172769 is an frugal number, since it uses more digits than its factorization.

435749172769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15012 (or 7506 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 64.

Multiplying 435749172769 by its sum of digits (64), we get a square (27887947057216 = 5280904²).

The spelling of 435749172769 in words is "four hundred thirty-five billion, seven hundred forty-nine million, one hundred seventy-two thousand, seven hundred sixty-nine".