81106483264 has 63 divisors (see below), whose sum is σ = 163066336173. Its totient is φ = 40025806848.

The previous prime is 81106483231. The next prime is 81106483267. The reversal of 81106483264 is 46238460118.

The square root of 81106483264 is 284792.

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., 36419905600 + 44686577664 = 190840^2 + 211392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 81106483264.

It is not an unprimeable number, because it can be changed into a prime (81106483267) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 220998409 + ... + 220998775.

Almost surely, 2^81106483264 is an apocalyptic number.

81106483264 is the 284792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81106483264

81106483264 is an abundant number, since it is smaller than the sum of its proper divisors (81959852909).

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

81106483264 is an frugal number, since it uses more digits than its factorization.

81106483264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 81106483264 in words is "eighty-one billion, one hundred six million, four hundred eighty-three thousand, two hundred sixty-four".