201653640144 has 240 divisors, whose sum is σ = 657648336384. Its totient is φ = 57002803200.

The previous prime is 201653640079. The next prime is 201653640173. The reversal of 201653640144 is 441046356102.

201653640144 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 5 + 3 + 640 + 1 + 4 + 4 = 666.

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 = 201653640099 and 201653640108.

It is a congruent number.

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, 3009729 + ... + 3075999.

Almost surely, 2^201653640144 is an apocalyptic number.

201653640144 is a gapful number since it is divisible by the number (24) 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 201653640144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328824168192).

201653640144 is an abundant number, since it is smaller than the sum of its proper divisors (455994696240).

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

201653640144 is a wasteful number, since it uses less digits than its factorization.

201653640144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66426 (or 66417 counting only the distinct ones).

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

Adding to 201653640144 its reverse (441046356102), we get a palindrome (642699996246).

The spelling of 201653640144 in words is "two hundred one billion, six hundred fifty-three million, six hundred forty thousand, one hundred forty-four".