13314762006 has 96 divisors (see below), whose sum is σ = 33037678080. Its totient is φ = 3502766592.

The previous prime is 13314761987. The next prime is 13314762017. The reversal of 13314762006 is 60026741331.

13314762006 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13314762006² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3113886 + ... + 3118158.

It is an arithmetic number, because the mean of its divisors is an integer number (344142480).

Almost surely, 2^13314762006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13314762006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518839040).

13314762006 is an abundant number, since it is smaller than the sum of its proper divisors (19722916074).

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

13314762006 is a wasteful number, since it uses less digits than its factorization.

13314762006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 13314762006 in words is "thirteen billion, three hundred fourteen million, seven hundred sixty-two thousand, six".