248025296274784 has 96 divisors (see below), whose sum is σ = 576154271379456. Its totient is φ = 102850577487360.

The previous prime is 248025296274779. The next prime is 248025296274787. The reversal of 248025296274784 is 487472692520842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248025296274787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38962677 + ... + 44879179.

It is an arithmetic number, because the mean of its divisors is an integer number (6001606993536).

Almost surely, 2^{248025296274784} 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 248025296274784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288077135689728).

248025296274784 is an abundant number, since it is smaller than the sum of its proper divisors (328128975104672).

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

248025296274784 is a wasteful number, since it uses less digits than its factorization.

248025296274784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922588 (or 5922580 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 70.

The spelling of 248025296274784 in words is "two hundred forty-eight trillion, twenty-five billion, two hundred ninety-six million, two hundred seventy-four thousand, seven hundred eighty-four".