180240978322008 has 128 divisors (see below), whose sum is σ = 512909318577600. Its totient is φ = 58611696768000.

The previous prime is 180240978322007. The next prime is 180240978322063. The reversal of 180240978322008 is 800223879042081.

180240978322008 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 409 + 7 + 8 + 3 + 220 + 0 + 8 = 666.

It is a super-4 number, since 4×180240978322008⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180240978322007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161517610 + ... + 162629702.

Almost surely, 2^{180240978322008} is an apocalyptic number.

180240978322008 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 180240978322008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256454659288800).

180240978322008 is an abundant number, since it is smaller than the sum of its proper divisors (332668340255592).

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

180240978322008 is a wasteful number, since it uses less digits than its factorization.

180240978322008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130450 (or 1130440 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 180240978322008 in words is "one hundred eighty trillion, two hundred forty billion, nine hundred seventy-eight million, three hundred twenty-two thousand, eight".