82645051155744 has 768 divisors, whose sum is σ = 289237190860800. Its totient is φ = 20444327608320.

The previous prime is 82645051155739. The next prime is 82645051155787. The reversal of 82645051155744 is 44755115054628.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1941051384 + ... + 1941093960.

It is an arithmetic number, because the mean of its divisors is an integer number (376610925600).

Almost surely, 2^{82645051155744} is an apocalyptic number.

82645051155744 is a gapful number since it is divisible by the number (84) 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 82645051155744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144618595430400).

82645051155744 is an abundant number, since it is smaller than the sum of its proper divisors (206592139705056).

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

82645051155744 is a wasteful number, since it uses less digits than its factorization.

82645051155744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42878 (or 42856 counting only the distinct ones).

The product of its (nonzero) digits is 26880000, while the sum is 57.

It can be divided in two parts, 8264505 and 1155744, that added together give a palindrome (9420249).

The spelling of 82645051155744 in words is "eighty-two trillion, six hundred forty-five billion, fifty-one million, one hundred fifty-five thousand, seven hundred forty-four".