13784042668032 has 1792 divisors, whose sum is σ = 54007689193920. Its totient is φ = 3412334739456.

The previous prime is 13784042667971. The next prime is 13784042668061. The reversal of 13784042668032 is 23086624048731.

13784042668032 is a `hidden beast` number, since 1 + 3 + 78 + 40 + 426 + 6 + 80 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13784042668032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36954537798 + ... + 36954538170.

Almost surely, 2^{13784042668032} is an apocalyptic number.

13784042668032 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 13784042668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27003844596960).

13784042668032 is an abundant number, since it is smaller than the sum of its proper divisors (40223646525888).

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

13784042668032 is an frugal number, since it uses more digits than its factorization.

13784042668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 13784042668032 in words is "thirteen trillion, seven hundred eighty-four billion, forty-two million, six hundred sixty-eight thousand, thirty-two".