81445366341072 has 60 divisors (see below), whose sum is σ = 241341784091460. Its totient is φ = 25551487478784.

The previous prime is 81445366341023. The next prime is 81445366341121. The reversal of 81445366341072 is 27014366354418.

81445366341072 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 536 + 6 + 34 + 1 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (81445366341023) and next prime (81445366341121).

It can be written as a sum of positive squares in 2 ways, for example, as 63566879277456 + 17878487063616 = 7972884^2 + 4228296^2 .

It is a super-2 number, since 2×81445366341072² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16635080547 + ... + 16635085442.

It is an arithmetic number, because the mean of its divisors is an integer number (4022363068191).

Almost surely, 2^{81445366341072} is an apocalyptic number.

It is an amenable number.

81445366341072 is an abundant number, since it is smaller than the sum of its proper divisors (159896417750388).

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

81445366341072 is a wasteful number, since it uses less digits than its factorization.

81445366341072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33270166020 (or 33270166011 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 81445366341072 in words is "eighty-one trillion, four hundred forty-five billion, three hundred sixty-six million, three hundred forty-one thousand, seventy-two".