81929753048 has 128 divisors (see below), whose sum is σ = 188538900480. Its totient is φ = 32843543040.

The previous prime is 81929753011. The next prime is 81929753051. The reversal of 81929753048 is 84035792918.

It is a junction number, because it is equal to n+sod(n) for n = 81929752984 and 81929753002.

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 31 ways as a sum of consecutive naturals, for example, 38230265 + ... + 38232407.

It is an arithmetic number, because the mean of its divisors is an integer number (1472960160).

Almost surely, 2^81929753048 is an apocalyptic number.

81929753048 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 81929753048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94269450240).

81929753048 is an abundant number, since it is smaller than the sum of its proper divisors (106609147432).

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

81929753048 is a wasteful number, since it uses less digits than its factorization.

81929753048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 81929753048 in words is "eighty-one billion, nine hundred twenty-nine million, seven hundred fifty-three thousand, forty-eight".