181972542456 has 144 divisors (see below), whose sum is σ = 527188061400. Its totient is φ = 56670413184.

The previous prime is 181972542443. The next prime is 181972542497. The reversal of 181972542456 is 654245279181.

181972542456 is a `hidden beast` number, since 1 + 8 + 1 + 97 + 2 + 542 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×181972542456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1582230 + ... + 1693338.

Almost surely, 2^181972542456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181972542456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263594030700).

181972542456 is an abundant number, since it is smaller than the sum of its proper divisors (345215518944).

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

181972542456 is a wasteful number, since it uses less digits than its factorization.

181972542456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111210 (or 111180 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 181972542456 in words is "one hundred eighty-one billion, nine hundred seventy-two million, five hundred forty-two thousand, four hundred fifty-six".