13382836346880 has 4032 divisors, whose sum is σ = 65935042770240. Its totient is φ = 2550587719680.

The previous prime is 13382836346821. The next prime is 13382836347043. The reversal of 13382836346880 is 8864363828331.

13382836346880 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 283 + 6 + 346 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-3 number, since 3×13382836346880³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 85240995762 + ... + 85240995918.

It is an arithmetic number, because the mean of its divisors is an integer number (16352937195).

Almost surely, 2^{13382836346880} is an apocalyptic number.

13382836346880 is a gapful number since it is divisible by the number (10) 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 13382836346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32967521385120).

13382836346880 is an abundant number, since it is smaller than the sum of its proper divisors (52552206423360).

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

13382836346880 is a wasteful number, since it uses less digits than its factorization.

13382836346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 13382836346880 in words is "thirteen trillion, three hundred eighty-two billion, eight hundred thirty-six million, three hundred forty-six thousand, eight hundred eighty".