180979184850048 has 768 divisors, whose sum is σ = 614696765760000. Its totient is φ = 52214657384448.

The previous prime is 180979184850017. The next prime is 180979184850067. The reversal of 180979184850048 is 840058481979081.

180979184850048 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 79 + 1 + 8 + 4 + 8 + 500 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2670890793 + ... + 2670958551.

It is an arithmetic number, because the mean of its divisors is an integer number (800386413750).

Almost surely, 2^{180979184850048} is an apocalyptic number.

180979184850048 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 180979184850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307348382880000).

180979184850048 is an abundant number, since it is smaller than the sum of its proper divisors (433717580909952).

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

180979184850048 is a wasteful number, since it uses less digits than its factorization.

180979184850048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68094 (or 68063 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 72.

The spelling of 180979184850048 in words is "one hundred eighty trillion, nine hundred seventy-nine billion, one hundred eighty-four million, eight hundred fifty thousand, forty-eight".