201516436044 has 288 divisors, whose sum is σ = 644708413440. Its totient is φ = 51552547200.

The previous prime is 201516436039. The next prime is 201516436049. The reversal of 201516436044 is 440634615102.

201516436044 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 1 + 6 + 43 + 604 + 4 = 666.

201516436044 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 (201516436039) and next prime (201516436049).

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

It is not an unprimeable number, because it can be changed into a prime (201516436049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87197649 + ... + 87199959.

It is an arithmetic number, because the mean of its divisors is an integer number (2238570880).

Almost surely, 2^201516436044 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 201516436044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322354206720).

201516436044 is an abundant number, since it is smaller than the sum of its proper divisors (443191977396).

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

201516436044 is a wasteful number, since it uses less digits than its factorization.

201516436044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 201516436044 in words is "two hundred one billion, five hundred sixteen million, four hundred thirty-six thousand, forty-four".