181382160960 has 1344 divisors, whose sum is σ = 887169314304. Its totient is φ = 32735232000.

The previous prime is 181382160901. The next prime is 181382160983. The reversal of 181382160960 is 69061283181.

181382160960 is a `hidden beast` number, since 1 + 8 + 1 + 38 + 2 + 1 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49007110 + ... + 49010810.

It is an arithmetic number, because the mean of its divisors is an integer number (660096216).

Almost surely, 2^181382160960 is an apocalyptic number.

181382160960 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 181382160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443584657152).

181382160960 is an abundant number, since it is smaller than the sum of its proper divisors (705787153344).

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

181382160960 is a wasteful number, since it uses less digits than its factorization.

181382160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 1813821 and 60960, that added together give a palindrome (1874781).

The spelling of 181382160960 in words is "one hundred eighty-one billion, three hundred eighty-two million, one hundred sixty thousand, nine hundred sixty".