180903408048 has 800 divisors, whose sum is σ = 632616652800. Its totient is φ = 49679308800.

The previous prime is 180903408047. The next prime is 180903408061. The reversal of 180903408048 is 840804309081.

180903408048 is a `hidden beast` number, since 180 + 90 + 340 + 8 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 180903407994 and 180903408012.

It is not an unprimeable number, because it can be changed into a prime (180903408047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 909062253 + ... + 909062451.

It is an arithmetic number, because the mean of its divisors is an integer number (790770816).

Almost surely, 2^180903408048 is an apocalyptic number.

180903408048 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 180903408048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316308326400).

180903408048 is an abundant number, since it is smaller than the sum of its proper divisors (451713244752).

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

180903408048 is a wasteful number, since it uses less digits than its factorization.

180903408048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 180903408048 in words is "one hundred eighty billion, nine hundred three million, four hundred eight thousand, forty-eight".