81228023219616 has 864 divisors, whose sum is σ = 277271237194560. Its totient is φ = 20636999147520.

The previous prime is 81228023219597. The next prime is 81228023219621. The reversal of 81228023219616 is 61691232082218.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13340122300 + ... + 13340128388.

It is an arithmetic number, because the mean of its divisors is an integer number (320915783790).

Almost surely, 2^{81228023219616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81228023219616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138635618597280).

81228023219616 is an abundant number, since it is smaller than the sum of its proper divisors (196043213974944).

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

81228023219616 is a wasteful number, since it uses less digits than its factorization.

81228023219616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 81228023219616 in words is "eighty-one trillion, two hundred twenty-eight billion, twenty-three million, two hundred nineteen thousand, six hundred sixteen".