82738894581 has 96 divisors (see below), whose sum is σ = 145388256000. Its totient is φ = 46504296720.

The previous prime is 82738894561. The next prime is 82738894613. The reversal of 82738894581 is 18549883728.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 82738894581 - 2¹⁰ = 82738893557 is a prime.

It is a super-2 number, since 2×82738894581² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (30965760) is a multiple of the sum of its prime factors (180).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82738894561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1356375291 + ... + 1356375351.

It is an arithmetic number, because the mean of its divisors is an integer number (1514461000).

Almost surely, 2^82738894581 is an apocalyptic number.

It is an amenable number.

82738894581 is a deficient number, since it is larger than the sum of its proper divisors (62649361419).

82738894581 is an frugal number, since it uses more digits than its factorization.

82738894581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 71 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 82738894581 in words is "eighty-two billion, seven hundred thirty-eight million, eight hundred ninety-four thousand, five hundred eighty-one".