1561593346848 has 120 divisors (see below), whose sum is σ = 4596939311580. Its totient is φ = 520039595520.

The previous prime is 1561593346757. The next prime is 1561593346849. The reversal of 1561593346848 is 8486433951651.

It is a happy number.

1561593346848 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 593 + 34 + 6 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1350680947344 + 210912399504 = 1162188^2 + 459252^2 .

It is not an unprimeable number, because it can be changed into a prime (1561593346849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2466198 + ... + 3034026.

Almost surely, 2^{1561593346848} is an apocalyptic number.

1561593346848 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 1561593346848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298469655790).

1561593346848 is an abundant number, since it is smaller than the sum of its proper divisors (3035345964732).

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

1561593346848 is a wasteful number, since it uses less digits than its factorization.

1561593346848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568912 (or 568895 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 1561593346848 in words is "one trillion, five hundred sixty-one billion, five hundred ninety-three million, three hundred forty-six thousand, eight hundred forty-eight".