13005635454 has 64 divisors (see below), whose sum is σ = 33523238400. Its totient is φ = 3660427584.

The previous prime is 13005635429. The next prime is 13005635459. The reversal of 13005635454 is 45453650031.

13005635454 is a `hidden beast` number, since 13 + 0 + 0 + 5 + 635 + 4 + 5 + 4 = 666.

It is a super-2 number, since 2×13005635454² (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 (13005635459) 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, 231439 + ... + 282090.

It is an arithmetic number, because the mean of its divisors is an integer number (523800600).

Almost surely, 2^13005635454 is an apocalyptic number.

13005635454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13005635454 is an abundant number, since it is smaller than the sum of its proper divisors (20517602946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005635454 is a wasteful number, since it uses less digits than its factorization.

13005635454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513614 (or 513608 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 13005635454 in words is "thirteen billion, five million, six hundred thirty-five thousand, four hundred fifty-four".