1248271371648 has 640 divisors, whose sum is σ = 4551232860000. Its totient is φ = 335631679488.

The previous prime is 1248271371577. The next prime is 1248271371667. The reversal of 1248271371648 is 8461731728421.

1248271371648 is a `hidden beast` number, since 1 + 2 + 482 + 71 + 37 + 1 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1248271371594 and 1248271371603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141059128 + ... + 141067976.

Almost surely, 2^{1248271371648} is an apocalyptic number.

1248271371648 is a gapful number since it is divisible by the number (18) 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 1248271371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275616430000).

1248271371648 is an abundant number, since it is smaller than the sum of its proper divisors (3302961488352).

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

1248271371648 is an frugal number, since it uses more digits than its factorization.

1248271371648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8917 (or 8878 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 1248271371648 in words is "one trillion, two hundred forty-eight billion, two hundred seventy-one million, three hundred seventy-one thousand, six hundred forty-eight".