81006267456 has 315 divisors, whose sum is σ = 247967090679. Its totient is φ = 26148241152.

The previous prime is 81006267439. The next prime is 81006267487. The reversal of 81006267456 is 65476260018.

The square root of 81006267456 is 284616.

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

81006267456 is a `hidden beast` number, since 8 + 10 + 0 + 626 + 7 + 4 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1209048735 + ... + 1209048801.

Almost surely, 2^81006267456 is an apocalyptic number.

81006267456 is the 284616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81006267456

81006267456 is an abundant number, since it is smaller than the sum of its proper divisors (166960823223).

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

81006267456 is an frugal number, since it uses more digits than its factorization.

81006267456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 81006267456 in words is "eighty-one billion, six million, two hundred sixty-seven thousand, four hundred fifty-six".