1564041156216 has 256 divisors, whose sum is σ = 4937103360000. Its totient is φ = 401070528000.

The previous prime is 1564041156199. The next prime is 1564041156253. The reversal of 1564041156216 is 6126511404651.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306612066 + ... + 306617166.

It is an arithmetic number, because the mean of its divisors is an integer number (19285560000).

Almost surely, 2^{1564041156216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1564041156216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468551680000).

1564041156216 is an abundant number, since it is smaller than the sum of its proper divisors (3373062203784).

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

1564041156216 is a wasteful number, since it uses less digits than its factorization.

1564041156216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210 (or 7206 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1564041156216 in words is "one trillion, five hundred sixty-four billion, forty-one million, one hundred fifty-six thousand, two hundred sixteen".