201353983488 has 480 divisors, whose sum is σ = 705659834880. Its totient is φ = 56116592640.

The previous prime is 201353983469. The next prime is 201353983489. The reversal of 201353983488 is 884389353102.

201353983488 is a `hidden beast` number, since 20 + 1 + 3 + 53 + 98 + 3 + 488 = 666.

It is a super-2 number, since 2×201353983488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201353983489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35704573 + ... + 35710211.

It is an arithmetic number, because the mean of its divisors is an integer number (1470124656).

Almost surely, 2^201353983488 is an apocalyptic number.

201353983488 is a gapful number since it is divisible by the number (28) 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 201353983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352829917440).

201353983488 is an abundant number, since it is smaller than the sum of its proper divisors (504305851392).

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

201353983488 is an frugal number, since it uses more digits than its factorization.

201353983488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 201353983488 in words is "two hundred one billion, three hundred fifty-three million, nine hundred eighty-three thousand, four hundred eighty-eight".