201116164644 has 144 divisors (see below), whose sum is σ = 528316588800. Its totient is φ = 64462874112.

The previous prime is 201116164631. The next prime is 201116164673. The reversal of 201116164644 is 446461611102.

201116164644 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 1 + 6 + 1 + 6 + 4 + 644 = 666.

It is a super-2 number, since 2×201116164644² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201116164599 and 201116164608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45612712 + ... + 45617120.

It is an arithmetic number, because the mean of its divisors is an integer number (3668865200).

Almost surely, 2^201116164644 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 201116164644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264158294400).

201116164644 is an abundant number, since it is smaller than the sum of its proper divisors (327200424156).

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

201116164644 is a wasteful number, since it uses less digits than its factorization.

201116164644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 201116164644 its reverse (446461611102), we get a palindrome (647577775746).

The spelling of 201116164644 in words is "two hundred one billion, one hundred sixteen million, one hundred sixty-four thousand, six hundred forty-four".