13362693628272 has 40 divisors (see below), whose sum is σ = 34576059788160. Its totient is φ = 4447035349440.

The previous prime is 13362693628211. The next prime is 13362693628279. The reversal of 13362693628272 is 27282639626331.

13362693628272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13362693628272² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362693628279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224840604 + ... + 224900027.

It is an arithmetic number, because the mean of its divisors is an integer number (864401494704).

Almost surely, 2^{13362693628272} is an apocalyptic number.

13362693628272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13362693628272 is an abundant number, since it is smaller than the sum of its proper divisors (21213366159888).

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

13362693628272 is a wasteful number, since it uses less digits than its factorization.

13362693628272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449741261 (or 449741255 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 60.

The spelling of 13362693628272 in words is "thirteen trillion, three hundred sixty-two billion, six hundred ninety-three million, six hundred twenty-eight thousand, two hundred seventy-two".