180180468992412 has 288 divisors, whose sum is σ = 566855043955200. Its totient is φ = 47085240384000.

The previous prime is 180180468992389. The next prime is 180180468992521. The reversal of 180180468992412 is 214299864081081.

180180468992412 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 80 + 468 + 9 + 92 + 4 + 1 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 180180468992412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2096761087 + ... + 2096847017.

It is an arithmetic number, because the mean of its divisors is an integer number (1968246680400).

Almost surely, 2^{180180468992412} is an apocalyptic number.

180180468992412 is a gapful number since it is divisible by the number (12) 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 180180468992412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283427521977600).

180180468992412 is an abundant number, since it is smaller than the sum of its proper divisors (386674574962788).

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

180180468992412 is a wasteful number, since it uses less digits than its factorization.

180180468992412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101097 (or 101092 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 180180468992412 in words is "one hundred eighty trillion, one hundred eighty billion, four hundred sixty-eight million, nine hundred ninety-two thousand, four hundred twelve".