248433265080 has 1152 divisors, whose sum is σ = 1127148825600. Its totient is φ = 47621882880.

The previous prime is 248433265079. The next prime is 248433265117. The reversal of 248433265080 is 80562334842.

248433265080 is a `hidden beast` number, since 2 + 484 + 3 + 32 + 65 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 154593637 + ... + 154595243.

It is an arithmetic number, because the mean of its divisors is an integer number (978427800).

Almost surely, 2^248433265080 is an apocalyptic number.

248433265080 is a gapful number since it is divisible by the number (20) 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 248433265080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563574412800).

248433265080 is an abundant number, since it is smaller than the sum of its proper divisors (878715560520).

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

248433265080 is a wasteful number, since it uses less digits than its factorization.

248433265080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 248433265080 in words is "two hundred forty-eight billion, four hundred thirty-three million, two hundred sixty-five thousand, eighty".