1948561592856 has 512 divisors, whose sum is σ = 5616635904000. Its totient is φ = 560054476800.

The previous prime is 1948561592801. The next prime is 1948561592863. The reversal of 1948561592856 is 6582951658491.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5141323275 + ... + 5141323653.

It is an arithmetic number, because the mean of its divisors is an integer number (10969992000).

Almost surely, 2^{1948561592856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948561592856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808317952000).

1948561592856 is an abundant number, since it is smaller than the sum of its proper divisors (3668074311144).

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

1948561592856 is a wasteful number, since it uses less digits than its factorization.

1948561592856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 69.

The spelling of 1948561592856 in words is "one trillion, nine hundred forty-eight billion, five hundred sixty-one million, five hundred ninety-two thousand, eight hundred fifty-six".