182839826945664 has 1280 divisors, whose sum is σ = 657937091116800. Its totient is φ = 49301701263360.

The previous prime is 182839826945639. The next prime is 182839826945701. The reversal of 182839826945664 is 466549628938281.

182839826945664 is a `hidden beast` number, since 1 + 8 + 2 + 83 + 9 + 8 + 26 + 9 + 456 + 64 = 666.

182839826945664 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20927067504 + ... + 20927076240.

It is an arithmetic number, because the mean of its divisors is an integer number (514013352435).

Almost surely, 2^{182839826945664} is an apocalyptic number.

182839826945664 is a gapful number since it is divisible by the number (14) 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 182839826945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328968545558400).

182839826945664 is an abundant number, since it is smaller than the sum of its proper divisors (475097264171136).

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

182839826945664 is a wasteful number, since it uses less digits than its factorization.

182839826945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9023 (or 9002 counting only the distinct ones).

The product of its digits is 8599633920, while the sum is 81.

The spelling of 182839826945664 in words is "one hundred eighty-two trillion, eight hundred thirty-nine billion, eight hundred twenty-six million, nine hundred forty-five thousand, six hundred sixty-four".