248385481936704 has 2688 divisors, whose sum is σ = 916285331865600. Its totient is φ = 65682928926720.

The previous prime is 248385481936687. The next prime is 248385481936793. The reversal of 248385481936704 is 407639184583842.

248385481936704 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 8 + 548 + 1 + 9 + 3 + 6 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1435754230762 + ... + 1435754230934.

It is a 1-persistent number, because it is pandigital, but 2⋅248385481936704 = 496770963873408 is not.

Almost surely, 2^{248385481936704} is an apocalyptic number.

248385481936704 is a gapful number since it is divisible by the number (24) 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 248385481936704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458142665932800).

248385481936704 is an abundant number, since it is smaller than the sum of its proper divisors (667899849928896).

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

248385481936704 is a wasteful number, since it uses less digits than its factorization.

248385481936704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 248385481936704 in words is "two hundred forty-eight trillion, three hundred eighty-five billion, four hundred eighty-one million, nine hundred thirty-six thousand, seven hundred four".