82376778264144 has 120 divisors (see below), whose sum is σ = 263355008968512. Its totient is φ = 21725743703040.

The previous prime is 82376778264097. The next prime is 82376778264197. The reversal of 82376778264144 is 44146287767328.

82376778264144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725295237 + ... + 725408804.

Almost surely, 2^{82376778264144} is an apocalyptic number.

82376778264144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82376778264144 is an abundant number, since it is smaller than the sum of its proper divisors (180978230704368).

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

82376778264144 is a wasteful number, since it uses less digits than its factorization.

82376778264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450704085 (or 1450704066 counting only the distinct ones).

The product of its digits is 606928896, while the sum is 69.

The spelling of 82376778264144 in words is "eighty-two trillion, three hundred seventy-six billion, seven hundred seventy-eight million, two hundred sixty-four thousand, one hundred forty-four".