13362946960 has 40 divisors (see below), whose sum is σ = 33893294976. Its totient is φ = 4859253120.

The previous prime is 13362946957. The next prime is 13362946979. The reversal of 13362946960 is 6964926331.

13362946960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 7591704 + ... + 7593463.

Almost surely, 2^13362946960 is an apocalyptic number.

13362946960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13362946960 is an abundant number, since it is smaller than the sum of its proper divisors (20530348016).

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

13362946960 is a wasteful number, since it uses less digits than its factorization.

13362946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15185191 (or 15185185 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 49.

The spelling of 13362946960 in words is "thirteen billion, three hundred sixty-two million, nine hundred forty-six thousand, nine hundred sixty".