16374019070304 has 288 divisors, whose sum is σ = 56312773171200. Its totient is φ = 4678290400896.

The previous prime is 16374019070293. The next prime is 16374019070333. The reversal of 16374019070304 is 40307091047361.

16374019070304 is a `hidden beast` number, since 1 + 63 + 7 + 401 + 90 + 70 + 30 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16374019070304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402384 + ... + 5736719.

It is an arithmetic number, because the mean of its divisors is an integer number (195530462400).

Almost surely, 2^{16374019070304} is an apocalyptic number.

16374019070304 is a gapful number since it is divisible by the number (14) 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 16374019070304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28156386585600).

16374019070304 is an abundant number, since it is smaller than the sum of its proper divisors (39938754100896).

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

16374019070304 is an frugal number, since it uses more digits than its factorization.

16374019070304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139149 (or 6139115 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 16374019070304 in words is "sixteen trillion, three hundred seventy-four billion, nineteen million, seventy thousand, three hundred four".