180536522486544 has 525 divisors, whose sum is σ = 612056408350263. Its totient is φ = 51561547748928.

The previous prime is 180536522486539. The next prime is 180536522486669. The reversal of 180536522486544 is 445684225635081.

The square root of 180536522486544 is 13436388.

It is a perfect power (a square), and thus also a powerful number.

180536522486544 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 3 + 6 + 5 + 2 + 2 + 4 + 86 + 544 = 666.

It is a super-2 number, since 2×180536522486544² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 71105364027 + ... + 71105366565.

Almost surely, 2^{180536522486544} is an apocalyptic number.

180536522486544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

180536522486544 is the 13436388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180536522486544

180536522486544 is an abundant number, since it is smaller than the sum of its proper divisors (431519885863719).

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

180536522486544 is an frugal number, since it uses more digits than its factorization.

180536522486544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 63.

The spelling of 180536522486544 in words is "one hundred eighty trillion, five hundred thirty-six billion, five hundred twenty-two million, four hundred eighty-six thousand, five hundred forty-four".