16734102291072 has 256 divisors, whose sum is σ = 50043528864000. Its totient is φ = 5504343736320.

The previous prime is 16734102291043. The next prime is 16734102291097. The reversal of 16734102291072 is 27019220143761.

16734102291072 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 410 + 229 + 1 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×16734102291072² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 154660672 + ... + 154768832.

It is an arithmetic number, because the mean of its divisors is an integer number (195482534625).

Almost surely, 2^{16734102291072} is an apocalyptic number.

16734102291072 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 16734102291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021764432000).

16734102291072 is an abundant number, since it is smaller than the sum of its proper divisors (33309426572928).

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

16734102291072 is a wasteful number, since it uses less digits than its factorization.

16734102291072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108776 (or 108758 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 16734102291072 in words is "sixteen trillion, seven hundred thirty-four billion, one hundred two million, two hundred ninety-one thousand, seventy-two".