1648248448000 has 1056 divisors, whose sum is σ = 5398253812224. Its totient is φ = 490659840000.

The previous prime is 1648248447973. The next prime is 1648248448031. The reversal of 1648248448000 is 8448428461.

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, 2493567670 + ... + 2493568330.

Almost surely, 2^{1648248448000} is an apocalyptic number.

1648248448000 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 1648248448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699126906112).

1648248448000 is an abundant number, since it is smaller than the sum of its proper divisors (3750005364224).

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

1648248448000 is a wasteful number, since it uses less digits than its factorization.

1648248448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 49.

The spelling of 1648248448000 in words is "one trillion, six hundred forty-eight billion, two hundred forty-eight million, four hundred forty-eight thousand".