248610516000 has 2304 divisors, whose sum is σ = 1158603264000. Its totient is φ = 46061568000.

The previous prime is 248610515999. The next prime is 248610516023. The reversal of 248610516000 is 615016842.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13084763991 + ... + 13084764009.

It is an arithmetic number, because the mean of its divisors is an integer number (502866000).

Almost surely, 2^248610516000 is an apocalyptic number.

248610516000 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 248610516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579301632000).

248610516000 is an abundant number, since it is smaller than the sum of its proper divisors (909992748000).

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

248610516000 is a wasteful number, since it uses less digits than its factorization.

248610516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 248610516000 in words is "two hundred forty-eight billion, six hundred ten million, five hundred sixteen thousand".