1648088307456 has 144 divisors (see below), whose sum is σ = 4443721865856. Its totient is φ = 542186917888.

The previous prime is 1648088307377. The next prime is 1648088307499. The reversal of 1648088307456 is 6547038808461.

It is a self number, because there is not a number n which added to its sum of digits gives 1648088307456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64559911 + ... + 64585433.

It is an arithmetic number, because the mean of its divisors is an integer number (30859179624).

Almost surely, 2^{1648088307456} is an apocalyptic number.

1648088307456 is a gapful number since it is divisible by the number (16) 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 1648088307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221860932928).

1648088307456 is an abundant number, since it is smaller than the sum of its proper divisors (2795633558400).

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

1648088307456 is a wasteful number, since it uses less digits than its factorization.

1648088307456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26638 (or 26624 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 1648088307456 in words is "one trillion, six hundred forty-eight billion, eighty-eight million, three hundred seven thousand, four hundred fifty-six".