16812264534912 has 768 divisors, whose sum is σ = 63557252640000. Its totient is φ = 4325959249920.

The previous prime is 16812264534859. The next prime is 16812264534941. The reversal of 16812264534912 is 21943546221861.

16812264534912 is a `hidden beast` number, since 1 + 6 + 8 + 12 + 2 + 6 + 4 + 534 + 91 + 2 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 199275714 + ... + 199360062.

It is an arithmetic number, because the mean of its divisors is an integer number (82756839375).

Almost surely, 2^{16812264534912} is an apocalyptic number.

16812264534912 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 16812264534912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31778626320000).

16812264534912 is an abundant number, since it is smaller than the sum of its proper divisors (46744988105088).

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

16812264534912 is a wasteful number, since it uses less digits than its factorization.

16812264534912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84504 (or 84479 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 16812264534912 in words is "sixteen trillion, eight hundred twelve billion, two hundred sixty-four million, five hundred thirty-four thousand, nine hundred twelve".