82361497140 has 96 divisors (see below), whose sum is σ = 275946236160. Its totient is φ = 20273597568.

The previous prime is 82361497129. The next prime is 82361497147. The reversal of 82361497140 is 4179416328.

82361497140 is a `hidden beast` number, since 8 + 23 + 614 + 9 + 7 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×82361497140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82361497147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5859184 + ... + 5873223.

It is an arithmetic number, because the mean of its divisors is an integer number (2874439960).

Almost surely, 2^82361497140 is an apocalyptic number.

It is an amenable number.

82361497140 is an abundant number, since it is smaller than the sum of its proper divisors (193584739020).

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

82361497140 is a wasteful number, since it uses less digits than its factorization.

82361497140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11732438 (or 11732430 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 82361497140 in words is "eighty-two billion, three hundred sixty-one million, four hundred ninety-seven thousand, one hundred forty".