13785314326272 has 216 divisors, whose sum is σ = 41068541241728. Its totient is φ = 4442546995200.

The previous prime is 13785314326261. The next prime is 13785314326349. The reversal of 13785314326272 is 27262341358731.

It is a happy number.

13785314326272 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 5 + 3 + 1 + 4 + 3 + 2 + 627 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73687572 + ... + 73874412.

Almost surely, 2^{13785314326272} is an apocalyptic number.

13785314326272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13785314326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534270620864).

13785314326272 is an abundant number, since it is smaller than the sum of its proper divisors (27283226915456).

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

13785314326272 is a wasteful number, since it uses less digits than its factorization.

13785314326272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187927 (or 187910 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 13785314326272 in words is "thirteen trillion, seven hundred eighty-five billion, three hundred fourteen million, three hundred twenty-six thousand, two hundred seventy-two".