735397147809 has 27 divisors (see below), whose sum is σ = 1097730537267. Its totient is φ = 474398319600.

The previous prime is 735397147753. The next prime is 735397147813. The reversal of 735397147809 is 908741793537.

The square root of 735397147809 is 857553.

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

735397147809 is a `hidden beast` number, since 7 + 3 + 539 + 7 + 14 + 7 + 80 + 9 = 666.

735397147809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 674200283409 + 61196864400 = 821097^2 + 247380^2 .

It is not a de Polignac number, because 735397147809 - 2¹⁷ = 735397016737 is a prime.

It is a super-2 number, since 2×735397147809² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (735397147829) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79747819 + ... + 79757039.

Almost surely, 2^735397147809 is an apocalyptic number.

735397147809 is the 857553-rd square number.

735397147809 is the 428777-th centered octagonal number.

It is an amenable number.

735397147809 is a deficient number, since it is larger than the sum of its proper divisors (362333389458).

735397147809 is an frugal number, since it uses more digits than its factorization.

735397147809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18510 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 735397147809 in words is "seven hundred thirty-five billion, three hundred ninety-seven million, one hundred forty-seven thousand, eight hundred nine".