180040163328 has 168 divisors, whose sum is σ = 528912048600. Its totient is φ = 58994786304.

The previous prime is 180040163323. The next prime is 180040163341. The reversal of 180040163328 is 823361040081.

180040163328 is a `hidden beast` number, since 18 + 0 + 0 + 4 + 0 + 1 + 633 + 2 + 8 = 666.

It is a super-2 number, since 2×180040163328² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 180040163292 and 180040163301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180040163323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4329258 + ... + 4370646.

Almost surely, 2^180040163328 is an apocalyptic number.

180040163328 is a gapful number since it is divisible by the number (18) 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 180040163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264456024300).

180040163328 is an abundant number, since it is smaller than the sum of its proper divisors (348871885272).

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

180040163328 is an equidigital number, since it uses as much as digits as its factorization.

180040163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41480 (or 41453 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 180040163328 in words is "one hundred eighty billion, forty million, one hundred sixty-three thousand, three hundred twenty-eight".