16387378914816 has 1920 divisors, whose sum is σ = 62391673344000. Its totient is φ = 4266493378560.

The previous prime is 16387378914749. The next prime is 16387378914827. The reversal of 16387378914816 is 61841987378361.

16387378914816 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 73 + 78 + 9 + 1 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 191 ways as a sum of consecutive naturals, for example, 60470032761 + ... + 60470033031.

It is an arithmetic number, because the mean of its divisors is an integer number (32495663200).

Almost surely, 2^{16387378914816} is an apocalyptic number.

16387378914816 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 16387378914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31195836672000).

16387378914816 is an abundant number, since it is smaller than the sum of its proper divisors (46004294429184).

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

16387378914816 is an equidigital number, since it uses as much as digits as its factorization.

16387378914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 405 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 16387378914816 in words is "sixteen trillion, three hundred eighty-seven billion, three hundred seventy-eight million, nine hundred fourteen thousand, eight hundred sixteen".