180295746048 has 1200 divisors, whose sum is σ = 653257355520. Its totient is φ = 49268736000.

The previous prime is 180295745957. The next prime is 180295746053. The reversal of 180295746048 is 840647592081.

It is a happy number.

180295746048 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 9 + 574 + 60 + 4 + 8 = 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 = 180295745985 and 180295746003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2955667938 + ... + 2955667998.

Almost surely, 2^180295746048 is an apocalyptic number.

180295746048 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 180295746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326628677760).

180295746048 is an abundant number, since it is smaller than the sum of its proper divisors (472961609472).

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

180295746048 is a wasteful number, since it uses less digits than its factorization.

180295746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 180295746048 in words is "one hundred eighty billion, two hundred ninety-five million, seven hundred forty-six thousand, forty-eight".