2016967163904 has 1280 divisors, whose sum is σ = 7673445964800. Its totient is φ = 512792985600.

The previous prime is 2016967163873. The next prime is 2016967163929. The reversal of 2016967163904 is 4093617696102.

2016967163904 is a `hidden beast` number, since 20 + 169 + 6 + 71 + 6 + 390 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14510555067 + ... + 14510555205.

It is an arithmetic number, because the mean of its divisors is an integer number (5994879660).

Almost surely, 2^{2016967163904} is an apocalyptic number.

2016967163904 is a gapful number since it is divisible by the number (24) 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 2016967163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836722982400).

2016967163904 is an abundant number, since it is smaller than the sum of its proper divisors (5656478800896).

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

2016967163904 is an equidigital number, since it uses as much as digits as its factorization.

2016967163904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 2016967163904 in words is "two trillion, sixteen billion, nine hundred sixty-seven million, one hundred sixty-three thousand, nine hundred four".