81414240264256 has 63 divisors (see below), whose sum is σ = 166940580455103. Its totient is φ = 39392904466560.

The previous prime is 81414240264239. The next prime is 81414240264263. The reversal of 81414240264256 is 65246204241418.

It is a happy number.

The square root of 81414240264256 is 9022984.

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

It is a super-2 number, since 2×81414240264256² (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, 2237681841 + ... + 2237718223.

Almost surely, 2^{81414240264256} is an apocalyptic number.

81414240264256 is the 9022984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81414240264256

81414240264256 is an abundant number, since it is smaller than the sum of its proper divisors (85526340190847).

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

81414240264256 is an frugal number, since it uses more digits than its factorization.

81414240264256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72840 (or 36416 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 49.

The spelling of 81414240264256 in words is "eighty-one trillion, four hundred fourteen billion, two hundred forty million, two hundred sixty-four thousand, two hundred fifty-six".