248705943024 has 160 divisors (see below), whose sum is σ = 807335755776. Its totient is φ = 64090172160.

The previous prime is 248705942999. The next prime is 248705943049. The reversal of 248705943024 is 420349507842.

It is an interprime number because it is at equal distance from previous prime (248705942999) and next prime (248705943049).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204469 + ... + 734315.

Almost surely, 2^248705943024 is an apocalyptic number.

248705943024 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 248705943024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403667877888).

248705943024 is an abundant number, since it is smaller than the sum of its proper divisors (558629812752).

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

248705943024 is a wasteful number, since it uses less digits than its factorization.

248705943024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530003 (or 529997 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 248705943024 in words is "two hundred forty-eight billion, seven hundred five million, nine hundred forty-three thousand, twenty-four".