248871233424 has 320 divisors, whose sum is σ = 745881403392. Its totient is φ = 70788556800.

The previous prime is 248871233417. The next prime is 248871233489. The reversal of 248871233424 is 424332178842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367608574 + ... + 367609250.

Almost surely, 2^248871233424 is an apocalyptic number.

248871233424 is a gapful number since it is divisible by the number (24) 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 248871233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372940701696).

248871233424 is an abundant number, since it is smaller than the sum of its proper divisors (497010169968).

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

248871233424 is a wasteful number, since it uses less digits than its factorization.

248871233424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The spelling of 248871233424 in words is "two hundred forty-eight billion, eight hundred seventy-one million, two hundred thirty-three thousand, four hundred twenty-four".