13833373462272 has 1296 divisors, whose sum is σ = 52763471953920. Its totient is φ = 3445327872000.

The previous prime is 13833373462199. The next prime is 13833373462283. The reversal of 13833373462272 is 27226437333831.

13833373462272 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 3 + 3 + 7 + 3 + 4 + 622 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12018568897 + ... + 12018570047.

It is an arithmetic number, because the mean of its divisors is an integer number (40712555520).

Almost surely, 2^{13833373462272} is an apocalyptic number.

13833373462272 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 13833373462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26381735976960).

13833373462272 is an abundant number, since it is smaller than the sum of its proper divisors (38930098491648).

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

13833373462272 is a wasteful number, since it uses less digits than its factorization.

13833373462272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1626 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 54.

The spelling of 13833373462272 in words is "thirteen trillion, eight hundred thirty-three billion, three hundred seventy-three million, four hundred sixty-two thousand, two hundred seventy-two".