1564016104224 has 144 divisors (see below), whose sum is σ = 5085905348160. Its totient is φ = 446610931200.

The previous prime is 1564016104207. The next prime is 1564016104237. The reversal of 1564016104224 is 4224016104651.

1564016104224 is a `hidden beast` number, since 1 + 5 + 640 + 1 + 6 + 1 + 0 + 4 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1564016104224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3389799 + ... + 3823449.

It is an arithmetic number, because the mean of its divisors is an integer number (35318787140).

Almost surely, 2^{1564016104224} is an apocalyptic number.

1564016104224 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 1564016104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542952674080).

1564016104224 is an abundant number, since it is smaller than the sum of its proper divisors (3521889243936).

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

1564016104224 is a wasteful number, since it uses less digits than its factorization.

1564016104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435463 (or 435452 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1564016104224 in words is "one trillion, five hundred sixty-four billion, sixteen million, one hundred four thousand, two hundred twenty-four".