248633507496 has 192 divisors, whose sum is σ = 713810361600. Its totient is φ = 72022720000.

The previous prime is 248633507489. The next prime is 248633507503. The reversal of 248633507496 is 694705336842.

It is an interprime number because it is at equal distance from previous prime (248633507489) and next prime (248633507503).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8491201 + ... + 8520431.

It is an arithmetic number, because the mean of its divisors is an integer number (3717762300).

Almost surely, 2^248633507496 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 248633507496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356905180800).

248633507496 is an abundant number, since it is smaller than the sum of its proper divisors (465176854104).

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

248633507496 is a wasteful number, since it uses less digits than its factorization.

248633507496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29392 (or 29377 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 248633507496 in words is "two hundred forty-eight billion, six hundred thirty-three million, five hundred seven thousand, four hundred ninety-six".