81457972176 has 160 divisors (see below), whose sum is σ = 244154158848. Its totient is φ = 22922035200.

The previous prime is 81457972171. The next prime is 81457972199. The reversal of 81457972176 is 67127975418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81457972171) by changing a digit.

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, 6543430 + ... + 6555866.

Almost surely, 2^81457972176 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 81457972176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122077079424).

81457972176 is an abundant number, since it is smaller than the sum of its proper divisors (162696186672).

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

81457972176 is a wasteful number, since it uses less digits than its factorization.

81457972176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749 (or 12743 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 57.

The spelling of 81457972176 in words is "eighty-one billion, four hundred fifty-seven million, nine hundred seventy-two thousand, one hundred seventy-six".