201283944624 has 240 divisors, whose sum is σ = 676028160000. Its totient is φ = 56170703232.

The previous prime is 201283944613. The next prime is 201283944647. The reversal of 201283944624 is 426449382102.

201283944624 is a `hidden beast` number, since 2 + 0 + 12 + 8 + 3 + 9 + 4 + 4 + 624 = 666.

201283944624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201283944624.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5573377 + ... + 5609375.

It is an arithmetic number, because the mean of its divisors is an integer number (2816784000).

Almost surely, 2^201283944624 is an apocalyptic number.

201283944624 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 201283944624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338014080000).

201283944624 is an abundant number, since it is smaller than the sum of its proper divisors (474744215376).

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

201283944624 is a wasteful number, since it uses less digits than its factorization.

201283944624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36109 (or 36054 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 201283944624 in words is "two hundred one billion, two hundred eighty-three million, nine hundred forty-four thousand, six hundred twenty-four".