81758353248 has 288 divisors, whose sum is σ = 274977061632. Its totient is φ = 22716288000.

The previous prime is 81758353231. The next prime is 81758353289. The reversal of 81758353248 is 84235385718.

81758353248 is a `hidden beast` number, since 8 + 1 + 7 + 583 + 53 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 81758353194 and 81758353203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6212211 + ... + 6225357.

It is an arithmetic number, because the mean of its divisors is an integer number (954781464).

Almost surely, 2^81758353248 is an apocalyptic number.

81758353248 is a gapful number since it is divisible by the number (88) 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 81758353248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137488530816).

81758353248 is an abundant number, since it is smaller than the sum of its proper divisors (193218708384).

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

81758353248 is a wasteful number, since it uses less digits than its factorization.

81758353248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13338 (or 13327 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 81758353248 in words is "eighty-one billion, seven hundred fifty-eight million, three hundred fifty-three thousand, two hundred forty-eight".