248508115680 has 288 divisors, whose sum is σ = 865945920672. Its totient is φ = 59858472960.

The previous prime is 248508115657. The next prime is 248508115717. The reversal of 248508115680 is 86511805842.

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 47 ways as a sum of consecutive naturals, for example, 9104934 + ... + 9132186.

It is an arithmetic number, because the mean of its divisors is an integer number (3006756669).

Almost surely, 2^248508115680 is an apocalyptic number.

248508115680 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 248508115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432972960336).

248508115680 is an abundant number, since it is smaller than the sum of its proper divisors (617437804992).

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

248508115680 is a wasteful number, since it uses less digits than its factorization.

248508115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27450 (or 27431 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 248508115680 in words is "two hundred forty-eight billion, five hundred eight million, one hundred fifteen thousand, six hundred eighty".