161638848 has 336 divisors, whose sum is σ = 583752960. Its totient is φ = 43642368.

The previous prime is 161638847. The next prime is 161638859. The reversal of 161638848 is 848836161.

It is a happy number.

161638848 is a `hidden beast` number, since 1 + 6 + 1 + 638 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×161638848² = 52254234365534208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161638843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1947415 + ... + 1947497.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^161638848 is an apocalyptic number.

161638848 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 161638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

161638848 is an abundant number, since it is smaller than the sum of its proper divisors (422114112).

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

161638848 is a wasteful number, since it uses less digits than its factorization.

161638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 161638848 is about 12713.7267549684. The cubic root of 161638848 is about 544.7307796935.

The spelling of 161638848 in words is "one hundred sixty-one million, six hundred thirty-eight thousand, eight hundred forty-eight".