16714164160512 has 1152 divisors, whose sum is σ = 61630381612800. Its totient is φ = 4382373445632.

The previous prime is 16714164160357. The next prime is 16714164160531. The reversal of 16714164160512 is 21506146141761.

16714164160512 is a `hidden beast` number, since 1 + 6 + 7 + 14 + 1 + 64 + 1 + 60 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12886787448 + ... + 12886788744.

It is an arithmetic number, because the mean of its divisors is an integer number (53498595150).

Almost surely, 2^{16714164160512} is an apocalyptic number.

16714164160512 is a gapful number since it is divisible by the number (12) 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 16714164160512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30815190806400).

16714164160512 is an abundant number, since it is smaller than the sum of its proper divisors (44916217452288).

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

16714164160512 is a wasteful number, since it uses less digits than its factorization.

16714164160512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 16714164160512 in words is "sixteen trillion, seven hundred fourteen billion, one hundred sixty-four million, one hundred sixty thousand, five hundred twelve".