181630874880 has 2304 divisors, whose sum is σ = 865018183680. Its totient is φ = 35473489920.

The previous prime is 181630874869. The next prime is 181630874963. The reversal of 181630874880 is 88478036181.

It is a happy number.

181630874880 is a `hidden beast` number, since 1 + 81 + 6 + 3 + 0 + 87 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5859060465 + ... + 5859060495.

It is an arithmetic number, because the mean of its divisors is an integer number (375441920).

Almost surely, 2^181630874880 is an apocalyptic number.

181630874880 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 181630874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432509091840).

181630874880 is an abundant number, since it is smaller than the sum of its proper divisors (683387308800).

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

181630874880 is an equidigital number, since it uses as much as digits as its factorization.

181630874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 181630874880 in words is "one hundred eighty-one billion, six hundred thirty million, eight hundred seventy-four thousand, eight hundred eighty".