180356143968 has 1152 divisors, whose sum is σ = 742864711680. Its totient is φ = 41847321600.

The previous prime is 180356143943. The next prime is 180356143987. The reversal of 180356143968 is 869341653081.

180356143968 is a `hidden beast` number, since 18 + 0 + 3 + 5 + 614 + 3 + 9 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5817940113 + ... + 5817940143.

It is an arithmetic number, because the mean of its divisors is an integer number (644847840).

Almost surely, 2^180356143968 is an apocalyptic number.

180356143968 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 180356143968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371432355840).

180356143968 is an abundant number, since it is smaller than the sum of its proper divisors (562508567712).

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

180356143968 is a wasteful number, since it uses less digits than its factorization.

180356143968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 180356143968 in words is "one hundred eighty billion, three hundred fifty-six million, one hundred forty-three thousand, nine hundred sixty-eight".