16746425668224 has 768 divisors, whose sum is σ = 57799207065600. Its totient is φ = 4727514378240.

The previous prime is 16746425668213. The next prime is 16746425668267. The reversal of 16746425668224 is 42286652464761.

16746425668224 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 6 + 42 + 566 + 8 + 2 + 24 = 666.

It is a super-2 number, since 2×16746425668224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11083007629 + ... + 11083009139.

It is an arithmetic number, because the mean of its divisors is an integer number (75259384200).

Almost surely, 2^{16746425668224} is an apocalyptic number.

16746425668224 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 16746425668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28899603532800).

16746425668224 is an abundant number, since it is smaller than the sum of its proper divisors (41052781397376).

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

16746425668224 is a wasteful number, since it uses less digits than its factorization.

16746425668224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2099 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 16746425668224 in words is "sixteen trillion, seven hundred forty-six billion, four hundred twenty-five million, six hundred sixty-eight thousand, two hundred twenty-four".