1564231241664 has 896 divisors, whose sum is σ = 5823246428160. Its totient is φ = 400719052800.

The previous prime is 1564231241627. The next prime is 1564231241719. The reversal of 1564231241664 is 4661421324651.

1564231241664 is a `hidden beast` number, since 1 + 56 + 423 + 12 + 4 + 166 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2134012242 + ... + 2134012974.

It is an arithmetic number, because the mean of its divisors is an integer number (6499158960).

Almost surely, 2^{1564231241664} is an apocalyptic number.

1564231241664 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 1564231241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911623214080).

1564231241664 is an abundant number, since it is smaller than the sum of its proper divisors (4259015186496).

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

1564231241664 is a wasteful number, since it uses less digits than its factorization.

1564231241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1130 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 1564231241664 in words is "one trillion, five hundred sixty-four billion, two hundred thirty-one million, two hundred forty-one thousand, six hundred sixty-four".