13006034496 has 252 divisors, whose sum is σ = 46136917632. Its totient is φ = 3429983232.

The previous prime is 13006034479. The next prime is 13006034497. The reversal of 13006034496 is 69443060031.

13006034496 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 603 + 4 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×13006034496² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13006034496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006034497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 671865 + ... + 690951.

Almost surely, 2^13006034496 is an apocalyptic number.

13006034496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13006034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23068458816).

13006034496 is an abundant number, since it is smaller than the sum of its proper divisors (33130883136).

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

13006034496 is a wasteful number, since it uses less digits than its factorization.

13006034496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19138 (or 19112 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13006034496 in words is "thirteen billion, six million, thirty-four thousand, four hundred ninety-six".