13851306934272 has 720 divisors, whose sum is σ = 42960777000960. Its totient is φ = 4456903606272.

The previous prime is 13851306934261. The next prime is 13851306934291. The reversal of 13851306934272 is 27243960315831.

13851306934272 is a `hidden beast` number, since 1 + 3 + 85 + 130 + 6 + 9 + 3 + 427 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14782610988 + ... + 14782611924.

It is a 1-persistent number, because it is pandigital, but 2⋅13851306934272 = 27702613868544 is not.

Almost surely, 2^{13851306934272} is an apocalyptic number.

13851306934272 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 13851306934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21480388500480).

13851306934272 is an abundant number, since it is smaller than the sum of its proper divisors (29109470066688).

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

13851306934272 is an frugal number, since it uses more digits than its factorization.

13851306934272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 13851306934272 in words is "thirteen trillion, eight hundred fifty-one billion, three hundred six million, nine hundred thirty-four thousand, two hundred seventy-two".