13335399441 has 189 divisors, whose sum is σ = 25732244331. Its totient is φ = 6884396064.

The previous prime is 13335399439. The next prime is 13335399457. The reversal of 13335399441 is 14499353331.

The square root of 13335399441 is 115479.

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., 1972692225 + 11362707216 = 44415^2 + 106596^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 13335399441 - 2¹ = 13335399439 is a prime.

It is a super-2 number, since 2×13335399441² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13335399491) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 283731880 + ... + 283731926.

Almost surely, 2^13335399441 is an apocalyptic number.

13335399441 is the 115479-th square number.

13335399441 is the 57740-th centered octagonal number.

It is an amenable number.

13335399441 is a deficient number, since it is larger than the sum of its proper divisors (12396844890).

13335399441 is an frugal number, since it uses more digits than its factorization.

13335399441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 70 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The spelling of 13335399441 in words is "thirteen billion, three hundred thirty-five million, three hundred ninety-nine thousand, four hundred forty-one".