16038677942784 has 1440 divisors, whose sum is σ = 58515340403520. Its totient is φ = 4367156871168.

The previous prime is 16038677942779. The next prime is 16038677942831. The reversal of 16038677942784 is 48724977683061.

16038677942784 is a `hidden beast` number, since 1 + 60 + 3 + 8 + 67 + 7 + 9 + 427 + 84 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14673995742 + ... + 14673996834.

It is an arithmetic number, because the mean of its divisors is an integer number (40635653058).

Almost surely, 2^{16038677942784} is an apocalyptic number.

16038677942784 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 16038677942784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29257670201760).

16038677942784 is an abundant number, since it is smaller than the sum of its proper divisors (42476662460736).

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

16038677942784 is an equidigital number, since it uses as much as digits as its factorization.

16038677942784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 16038677942784 in words is "sixteen trillion, thirty-eight billion, six hundred seventy-seven million, nine hundred forty-two thousand, seven hundred eighty-four".