248320981440 has 672 divisors, whose sum is σ = 1021617033216. Its totient is φ = 54165749760.

The previous prime is 248320981429. The next prime is 248320981451. The reversal of 248320981440 is 44189023842.

248320981440 is a `hidden beast` number, since 2 + 483 + 20 + 9 + 8 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (248320981429) and next prime (248320981451).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45619359 + ... + 45624801.

Almost surely, 2^248320981440 is an apocalyptic number.

248320981440 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 248320981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510808516608).

248320981440 is an abundant number, since it is smaller than the sum of its proper divisors (773296051776).

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

248320981440 is a wasteful number, since it uses less digits than its factorization.

248320981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 248320981440 in words is "two hundred forty-eight billion, three hundred twenty million, nine hundred eighty-one thousand, four hundred forty".