81456950484 has 576 divisors, whose sum is σ = 276298760192. Its totient is φ = 20407334400.

The previous prime is 81456950467. The next prime is 81456950591. The reversal of 81456950484 is 48405965418.

81456950484 is a `hidden beast` number, since 8 + 1 + 4 + 56 + 9 + 504 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 81456950484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 167262489 + ... + 167262975.

Almost surely, 2^81456950484 is an apocalyptic number.

81456950484 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81456950484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138149380096).

81456950484 is an abundant number, since it is smaller than the sum of its proper divisors (194841809708).

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

81456950484 is a wasteful number, since it uses less digits than its factorization.

81456950484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 81456950484 in words is "eighty-one billion, four hundred fifty-six million, nine hundred fifty thousand, four hundred eighty-four".