16378014744576 has 315 divisors, whose sum is σ = 49152053450703. Its totient is φ = 5454676131840.

The previous prime is 16378014744557. The next prime is 16378014744599. The reversal of 16378014744576 is 67544741087361.

It is a happy number.

The square root of 16378014744576 is 4046976.

It is a perfect power (a square), and thus also a powerful number.

16378014744576 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 8 + 0 + 14 + 7 + 44 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 13986348471 + ... + 13986349641.

Almost surely, 2^{16378014744576} is an apocalyptic number.

16378014744576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16378014744576 is the 4046976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16378014744576

16378014744576 is an abundant number, since it is smaller than the sum of its proper divisors (32774038706127).

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

16378014744576 is an frugal number, since it uses more digits than its factorization.

16378014744576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 16378014744576 in words is "sixteen trillion, three hundred seventy-eight billion, fourteen million, seven hundred forty-four thousand, five hundred seventy-six".