13002063201864 has 144 divisors (see below), whose sum is σ = 38717958988800. Its totient is φ = 3938823282240.

The previous prime is 13002063201821. The next prime is 13002063201937. The reversal of 13002063201864 is 46810236020031.

13002063201864 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 2 + 0 + 632 + 0 + 18 + 6 + 4 = 666.

It is a super-2 number, since 2×13002063201864² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28690297 + ... + 29139959.

It is an arithmetic number, because the mean of its divisors is an integer number (268874715200).

Almost surely, 2^{13002063201864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002063201864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19358979494400).

13002063201864 is an abundant number, since it is smaller than the sum of its proper divisors (25715895786936).

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

13002063201864 is a wasteful number, since it uses less digits than its factorization.

13002063201864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453016 (or 452998 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 13002063201864 its reverse (46810236020031), we get a palindrome (59812299221895).

The spelling of 13002063201864 in words is "thirteen trillion, two billion, sixty-three million, two hundred one thousand, eight hundred sixty-four".