81463883904 has 576 divisors, whose sum is σ = 267777956160. Its totient is φ = 23730610176.

The previous prime is 81463883869. The next prime is 81463883923. The reversal of 81463883904 is 40938836418.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309748477 + ... + 309748739.

It is an arithmetic number, because the mean of its divisors is an integer number (464892285).

Almost surely, 2^81463883904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81463883904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133888978080).

81463883904 is an abundant number, since it is smaller than the sum of its proper divisors (186314072256).

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

81463883904 is a wasteful number, since it uses less digits than its factorization.

81463883904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 81463883904 in words is "eighty-one billion, four hundred sixty-three million, eight hundred eighty-three thousand, nine hundred four".