249223648032 has 162 divisors, whose sum is σ = 741463560747. Its totient is φ = 79400483712.

The previous prime is 249223647977. The next prime is 249223648067. The reversal of 249223648032 is 230846322942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

249223648032 is a `hidden beast` number, since 2 + 492 + 23 + 64 + 80 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124611824016 + 124611824016 = 353004^2 + 353004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=353004.

It is a super-2 number, since 2×249223648032² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194857569 + ... + 194858847.

Almost surely, 2^249223648032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249223648032

249223648032 is an abundant number, since it is smaller than the sum of its proper divisors (492239912715).

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

249223648032 is an equidigital number, since it uses as much as digits as its factorization.

249223648032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 249223648032 in words is "two hundred forty-nine billion, two hundred twenty-three million, six hundred forty-eight thousand, thirty-two".