13377674016 has 384 divisors, whose sum is σ = 46702656000. Its totient is φ = 3644669952.

The previous prime is 13377673999. The next prime is 13377674021. The reversal of 13377674016 is 61047677331.

13377674016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15609460 + ... + 15610316.

It is an arithmetic number, because the mean of its divisors is an integer number (121621500).

Almost surely, 2^13377674016 is an apocalyptic number.

13377674016 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 13377674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328000).

13377674016 is an abundant number, since it is smaller than the sum of its proper divisors (33324981984).

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

13377674016 is a wasteful number, since it uses less digits than its factorization.

13377674016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 13377674016 in words is "thirteen billion, three hundred seventy-seven million, six hundred seventy-four thousand, sixteen".