1563362131968 has 1632 divisors, whose sum is σ = 6192003753600. Its totient is φ = 385263599616.

The previous prime is 1563362131937. The next prime is 1563362131973. The reversal of 1563362131968 is 8691312633651.

1563362131968 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 3 + 621 + 3 + 1 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4199040) is a multiple of the sum of its prime factors (160).

It is a zygodrome in base 4.

It is a congruent number.

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, 21415919580 + ... + 21415919652.

Almost surely, 2^{1563362131968} is an apocalyptic number.

1563362131968 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 1563362131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096001876800).

1563362131968 is an abundant number, since it is smaller than the sum of its proper divisors (4628641621632).

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

1563362131968 is an equidigital number, since it uses as much as digits as its factorization.

1563362131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 117 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 1563362131968 in words is "one trillion, five hundred sixty-three billion, three hundred sixty-two million, one hundred thirty-one thousand, nine hundred sixty-eight".