181111956480 has 880 divisors, whose sum is σ = 798939187200. Its totient is φ = 38204669952.

The previous prime is 181111956479. The next prime is 181111956497. The reversal of 181111956480 is 84659111181.

It is a happy number.

181111956480 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 1 + 1 + 9 + 564 + 80 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 37737121 + ... + 37741919.

It is an arithmetic number, because the mean of its divisors is an integer number (907885440).

Almost surely, 2^181111956480 is an apocalyptic number.

181111956480 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 181111956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399469593600).

181111956480 is an abundant number, since it is smaller than the sum of its proper divisors (617827230720).

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

181111956480 is a wasteful number, since it uses less digits than its factorization.

181111956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 45.

The spelling of 181111956480 in words is "one hundred eighty-one billion, one hundred eleven million, nine hundred fifty-six thousand, four hundred eighty".