180039490350048 has 480 divisors, whose sum is σ = 606223834191360. Its totient is φ = 51347186150400.

The previous prime is 180039490350043. The next prime is 180039490350077. The reversal of 180039490350048 is 840053094930081.

180039490350048 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 3 + 9 + 4 + 90 + 3 + 500 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 180039490349976 and 180039490350003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180039490350043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42572589598 + ... + 42572593826.

It is an arithmetic number, because the mean of its divisors is an integer number (1262966321232).

Almost surely, 2^{180039490350048} is an apocalyptic number.

180039490350048 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 180039490350048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303111917095680).

180039490350048 is an abundant number, since it is smaller than the sum of its proper divisors (426184343841312).

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

180039490350048 is a wasteful number, since it uses less digits than its factorization.

180039490350048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7932 (or 7915 counting only the distinct ones).

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

The spelling of 180039490350048 in words is "one hundred eighty trillion, thirty-nine billion, four hundred ninety million, three hundred fifty thousand, forty-eight".