180018764794656 has 288 divisors, whose sum is σ = 547585887204720. Its totient is φ = 55900190932992.

The previous prime is 180018764794651. The next prime is 180018764794717. The reversal of 180018764794656 is 656497467810081.

180018764794656 is a `hidden beast` number, since 1 + 80 + 0 + 1 + 8 + 76 + 479 + 4 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 147843323719056 + 32175441075600 = 12159084^2 + 5672340^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (180018764794651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405308830 + ... + 405752738.

Almost surely, 2^{180018764794656} is an apocalyptic number.

180018764794656 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 180018764794656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273792943602360).

180018764794656 is an abundant number, since it is smaller than the sum of its proper divisors (367567122410064).

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

180018764794656 is a wasteful number, since it uses less digits than its factorization.

180018764794656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444788 (or 444777 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 180018764794656 in words is "one hundred eighty trillion, eighteen billion, seven hundred sixty-four million, seven hundred ninety-four thousand, six hundred fifty-six".