201564693201816 has 288 divisors, whose sum is σ = 641272158727200. Its totient is φ = 57024652769280.

The previous prime is 201564693201811. The next prime is 201564693201821. The reversal of 201564693201816 is 618102396465102.

201564693201816 is a `hidden beast` number, since 2 + 0 + 1 + 564 + 69 + 3 + 2 + 0 + 1 + 8 + 16 = 666.

201564693201816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201564693201811) and next prime (201564693201821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201564693201811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 597040501 + ... + 597378011.

It is an arithmetic number, because the mean of its divisors is an integer number (2226639440025).

Almost surely, 2^{201564693201816} 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 201564693201816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320636079363600).

201564693201816 is an abundant number, since it is smaller than the sum of its proper divisors (439707465525384).

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

201564693201816 is a wasteful number, since it uses less digits than its factorization.

201564693201816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339199 (or 339185 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 201564693201816 in words is "two hundred one trillion, five hundred sixty-four billion, six hundred ninety-three million, two hundred one thousand, eight hundred sixteen".