1248640568640 has 168 divisors, whose sum is σ = 4295594134728. Its totient is φ = 332909506560.

The previous prime is 1248640568639. The next prime is 1248640568677. The reversal of 1248640568640 is 468650468421.

1248640568640 is a `hidden beast` number, since 1 + 2 + 486 + 40 + 5 + 6 + 86 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 206232240384 + 1042408328256 = 454128^2 + 1020984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16842694 + ... + 16916666.

Almost surely, 2^{1248640568640} is an apocalyptic number.

1248640568640 is a gapful number since it is divisible by the number (10) 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 1248640568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147797067364).

1248640568640 is an abundant number, since it is smaller than the sum of its proper divisors (3046953566088).

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

1248640568640 is a wasteful number, since it uses less digits than its factorization.

1248640568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79857 (or 79844 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1248640568640 in words is "one trillion, two hundred forty-eight billion, six hundred forty million, five hundred sixty-eight thousand, six hundred forty".