180902246112 has 576 divisors, whose sum is σ = 634684377600. Its totient is φ = 47730954240.

The previous prime is 180902246111. The next prime is 180902246143. The reversal of 180902246112 is 211642209081.

180902246112 is a `hidden beast` number, since 1 + 80 + 90 + 22 + 461 + 12 = 666.

180902246112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180902246111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324779338 + ... + 324779894.

It is an arithmetic number, because the mean of its divisors is an integer number (1101882600).

Almost surely, 2^180902246112 is an apocalyptic number.

180902246112 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 180902246112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317342188800).

180902246112 is an abundant number, since it is smaller than the sum of its proper divisors (453782131488).

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

180902246112 is a wasteful number, since it uses less digits than its factorization.

180902246112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 180902246112 in words is "one hundred eighty billion, nine hundred two million, two hundred forty-six thousand, one hundred twelve".