13364456007 has 32 divisors (see below), whose sum is σ = 21570181632. Its totient is φ = 7185153024.

The previous prime is 13364455967. The next prime is 13364456011. The reversal of 13364456007 is 70065446331.

13364456007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13364456007 - 2⁷ = 13364455879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13364456057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1619163 + ... + 1627395.

It is an arithmetic number, because the mean of its divisors is an integer number (674068176).

Almost surely, 2^13364456007 is an apocalyptic number.

13364456007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13364456007 is a deficient number, since it is larger than the sum of its proper divisors (8205725625).

13364456007 is a wasteful number, since it uses less digits than its factorization.

13364456007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12807.

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 13364456007 in words is "thirteen billion, three hundred sixty-four million, four hundred fifty-six thousand, seven".