163082082240 has 1176 divisors, whose sum is σ = 739445086512. Its totient is φ = 33861058560.

The previous prime is 163082082227. The next prime is 163082082257. The reversal of 163082082240 is 42280280361.

163082082240 is a `hidden beast` number, since 16 + 308 + 20 + 82 + 240 = 666.

163082082240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 163082082195 and 163082082204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 125737272 + ... + 125738568.

Almost surely, 2^163082082240 is an apocalyptic number.

163082082240 is a gapful number since it is divisible by the number (10) 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 163082082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369722543256).

163082082240 is an abundant number, since it is smaller than the sum of its proper divisors (576363004272).

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

163082082240 is a wasteful number, since it uses less digits than its factorization.

163082082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 163082082240 in words is "one hundred sixty-three billion, eighty-two million, eighty-two thousand, two hundred forty".