13333852384416 has 288 divisors, whose sum is σ = 40401362409408. Its totient is φ = 4322771712000.

The previous prime is 13333852384409. The next prime is 13333852384469. The reversal of 13333852384416 is 61448325833331.

13333852384416 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 38 + 523 + 84 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13333852384416² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 863415991 + ... + 863431433.

It is an arithmetic number, because the mean of its divisors is an integer number (140282508366).

Almost surely, 2^{13333852384416} is an apocalyptic number.

13333852384416 is a gapful number since it is divisible by the number (16) 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 13333852384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20200681204704).

13333852384416 is an abundant number, since it is smaller than the sum of its proper divisors (27067510024992).

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

13333852384416 is a wasteful number, since it uses less digits than its factorization.

13333852384416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18506 (or 18486 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 13333852384416 in words is "thirteen trillion, three hundred thirty-three billion, eight hundred fifty-two million, three hundred eighty-four thousand, four hundred sixteen".