81822698448100 has 27 divisors (see below), whose sum is σ = 177555451921897. Its totient is φ = 32729043196880.

The previous prime is 81822698448089. The next prime is 81822698448133. The reversal of 81822698448100 is 184489622818.

The square root of 81822698448100 is 9045590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29456171441316 + 52366527006784 = 5427354^2 + 7236472^2 .

It is a super-2 number, since 2×81822698448100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90003621 + ... + 90908179.

Almost surely, 2^{81822698448100} is an apocalyptic number.

81822698448100 is the 9045590-th square number.

It is an amenable number.

81822698448100 is an abundant number, since it is smaller than the sum of its proper divisors (95732753473797).

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

81822698448100 is an frugal number, since it uses more digits than its factorization.

81822698448100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809132 (or 904566 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 61.

The spelling of 81822698448100 in words is "eighty-one trillion, eight hundred twenty-two billion, six hundred ninety-eight million, four hundred forty-eight thousand, one hundred".