181279961856 has 1296 divisors, whose sum is σ = 704816985600. Its totient is φ = 43677646848.

The previous prime is 181279961827. The next prime is 181279961861. The reversal of 181279961856 is 658169972181.

181279961856 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 7 + 9 + 9 + 618 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (13063680) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 181279961793 and 181279961802.

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 143 ways as a sum of consecutive naturals, for example, 2036853460 + ... + 2036853548.

Almost surely, 2^181279961856 is an apocalyptic number.

181279961856 is a gapful number since it is divisible by the number (16) 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 181279961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352408492800).

181279961856 is an abundant number, since it is smaller than the sum of its proper divisors (523537023744).

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

181279961856 is a wasteful number, since it uses less digits than its factorization.

181279961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 181279961856 in words is "one hundred eighty-one billion, two hundred seventy-nine million, nine hundred sixty-one thousand, eight hundred fifty-six".