180180096144048 has 2240 divisors, whose sum is σ = 753131538496512. Its totient is φ = 40165306859520.

The previous prime is 180180096143989. The next prime is 180180096144199. The reversal of 180180096144048 is 840441690081081.

180180096144048 is a `hidden beast` number, since 1 + 8 + 0 + 18 + 0 + 0 + 9 + 614 + 4 + 0 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 180180096143985 and 180180096144003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 16474356436 + ... + 16474367372.

Almost surely, 2^{180180096144048} is an apocalyptic number.

180180096144048 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 180180096144048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376565769248256).

180180096144048 is an abundant number, since it is smaller than the sum of its proper divisors (572951442352464).

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

180180096144048 is a wasteful number, since it uses less digits than its factorization.

180180096144048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 180180096144048 in words is "one hundred eighty trillion, one hundred eighty billion, ninety-six million, one hundred forty-four thousand, forty-eight".