1648421881344 has 400 divisors, whose sum is σ = 5729124839328. Its totient is φ = 462086995968.

The previous prime is 1648421881279. The next prime is 1648421881349. The reversal of 1648421881344 is 4431881248461.

1648421881344 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 4 + 218 + 81 + 344 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648421881349) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15332544 + ... + 15439680.

Almost surely, 2^{1648421881344} is an apocalyptic number.

1648421881344 is a gapful number since it is divisible by the number (14) 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 1648421881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864562419664).

1648421881344 is an abundant number, since it is smaller than the sum of its proper divisors (4080702957984).

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

1648421881344 is an equidigital number, since it uses as much as digits as its factorization.

1648421881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107227 (or 107202 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 1648421881344 in words is "one trillion, six hundred forty-eight billion, four hundred twenty-one million, eight hundred eighty-one thousand, three hundred forty-four".