13643354413 has 32 divisors (see below), whose sum is σ = 15479100000. Its totient is φ = 11937902592.

The previous prime is 13643354407. The next prime is 13643354419. The reversal of 13643354413 is 31445334631.

It is an interprime number because it is at equal distance from previous prime (13643354407) and next prime (13643354419).

It can be written as a sum of positive squares in 16 ways, for example, as 5167021924 + 8476332489 = 71882^2 + 92067^2 .

It is a cyclic number.

It is not a de Polignac number, because 13643354413 - 2³³ = 5053419821 is a prime.

It is a super-2 number, since 2×13643354413² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13643354419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4998033 + ... + 5000761.

It is an arithmetic number, because the mean of its divisors is an integer number (483721875).

Almost surely, 2^13643354413 is an apocalyptic number.

13643354413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13643354413 is a deficient number, since it is larger than the sum of its proper divisors (1835745587).

13643354413 is a wasteful number, since it uses less digits than its factorization.

13643354413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009.

The product of its digits is 155520, while the sum is 37.

The spelling of 13643354413 in words is "thirteen billion, six hundred forty-three million, three hundred fifty-four thousand, four hundred thirteen".