16812580226816 has 144 divisors (see below), whose sum is σ = 38662381658880. Its totient is φ = 7221745090560.

The previous prime is 16812580226807. The next prime is 16812580226903. The reversal of 16812580226816 is 61862208521861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3812000 + ... + 6939488.

It is an arithmetic number, because the mean of its divisors is an integer number (268488761520).

Almost surely, 2^{16812580226816} is an apocalyptic number.

16812580226816 is a gapful number since it is divisible by the number (16) 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 16812580226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331190829440).

16812580226816 is an abundant number, since it is smaller than the sum of its proper divisors (21849801432064).

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

16812580226816 is a wasteful number, since it uses less digits than its factorization.

16812580226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127622 (or 3127608 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 56.

The spelling of 16812580226816 in words is "sixteen trillion, eight hundred twelve billion, five hundred eighty million, two hundred twenty-six thousand, eight hundred sixteen".