1563545801664 has 672 divisors, whose sum is σ = 5821190369280. Its totient is φ = 389372313600.

The previous prime is 1563545801639. The next prime is 1563545801669. The reversal of 1563545801664 is 4661085453651.

1563545801664 is a `hidden beast` number, since 1 + 5 + 6 + 3 + 54 + 580 + 1 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×1563545801664³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1563545801664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563545801669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149860192 + ... + 149870624.

Almost surely, 2^{1563545801664} is an apocalyptic number.

1563545801664 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 1563545801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910595184640).

1563545801664 is an abundant number, since it is smaller than the sum of its proper divisors (4257644567616).

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

1563545801664 is a wasteful number, since it uses less digits than its factorization.

1563545801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10609 (or 10596 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 1563545801664 in words is "one trillion, five hundred sixty-three billion, five hundred forty-five million, eight hundred one thousand, six hundred sixty-four".