248872097376 has 192 divisors, whose sum is σ = 847225128960. Its totient is φ = 69593333760.

The previous prime is 248872097351. The next prime is 248872097377. The reversal of 248872097376 is 673790278842.

248872097376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248872097377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153505 + ... + 722016.

It is an arithmetic number, because the mean of its divisors is an integer number (4412630880).

Almost surely, 2^248872097376 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 248872097376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423612564480).

248872097376 is an abundant number, since it is smaller than the sum of its proper divisors (598353031584).

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

248872097376 is a wasteful number, since it uses less digits than its factorization.

248872097376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875594 (or 875580 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 248872097376 in words is "two hundred forty-eight billion, eight hundred seventy-two million, ninety-seven thousand, three hundred seventy-six".