1293208443648 has 648 divisors, whose sum is σ = 4346179479600. Its totient is φ = 379004313600.

The previous prime is 1293208443629. The next prime is 1293208443671. The reversal of 1293208443648 is 8463448023921.

It is a happy number.

1293208443648 is a `hidden beast` number, since 1 + 2 + 93 + 2 + 0 + 84 + 436 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1293208443594 and 1293208443603.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 803733468 + ... + 803735076.

Almost surely, 2^{1293208443648} is an apocalyptic number.

1293208443648 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 1293208443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173089739800).

1293208443648 is an abundant number, since it is smaller than the sum of its proper divisors (3052971035952).

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

1293208443648 is a wasteful number, since it uses less digits than its factorization.

1293208443648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1293208443648 in words is "one trillion, two hundred ninety-three billion, two hundred eight million, four hundred forty-three thousand, six hundred forty-eight".