180948199313952 has 960 divisors, whose sum is σ = 629208440340480. Its totient is φ = 49941675270144.

The previous prime is 180948199313923. The next prime is 180948199313969. The reversal of 180948199313952 is 259313991849081.

180948199313952 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 48 + 199 + 3 + 1 + 395 + 2 = 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 159 ways as a sum of consecutive naturals, for example, 33391434699 + ... + 33391440117.

It is an arithmetic number, because the mean of its divisors is an integer number (655425458688).

Almost surely, 2^{180948199313952} is an apocalyptic number.

180948199313952 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 180948199313952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314604220170240).

180948199313952 is an abundant number, since it is smaller than the sum of its proper divisors (448260241026528).

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

180948199313952 is a wasteful number, since it uses less digits than its factorization.

180948199313952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 180948199313952 in words is "one hundred eighty trillion, nine hundred forty-eight billion, one hundred ninety-nine million, three hundred thirteen thousand, nine hundred fifty-two".