81512295469056 has 351 divisors, whose sum is σ = 239810448102121. Its totient is φ = 26676730232832.

The previous prime is 81512295469027. The next prime is 81512295469081. The reversal of 81512295469056 is 65096459221518.

The square root of 81512295469056 is 9028416.

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

81512295469056 is a `hidden beast` number, since 8 + 1 + 5 + 12 + 29 + 546 + 9 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39526871961600 + 41985423507456 = 6287040^2 + 6479616^2 .

It is a super-2 number, since 2×81512295469056² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81512295468984 and 81512295469002.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102273896050 + ... + 102273896846.

Almost surely, 2^{81512295469056} is an apocalyptic number.

81512295469056 is the 9028416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81512295469056

81512295469056 is an abundant number, since it is smaller than the sum of its proper divisors (158298152633065).

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

81512295469056 is an frugal number, since it uses more digits than its factorization.

81512295469056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 81512295469056 in words is "eighty-one trillion, five hundred twelve billion, two hundred ninety-five million, four hundred sixty-nine thousand, fifty-six".