164740182048 has 432 divisors, whose sum is σ = 555888191040. Its totient is φ = 47699103744.

The previous prime is 164740182017. The next prime is 164740182151. The reversal of 164740182048 is 840281047461.

164740182048 is a `hidden beast` number, since 164 + 7 + 401 + 82 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 164740181994 and 164740182012.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29211613 + ... + 29217251.

It is an arithmetic number, because the mean of its divisors is an integer number (1286778220).

Almost surely, 2^164740182048 is an apocalyptic number.

164740182048 is a gapful number since it is divisible by the number (18) 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 164740182048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277944095520).

164740182048 is an abundant number, since it is smaller than the sum of its proper divisors (391148008992).

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

164740182048 is a wasteful number, since it uses less digits than its factorization.

164740182048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 164740182048 in words is "one hundred sixty-four billion, seven hundred forty million, one hundred eighty-two thousand, forty-eight".