201049657344 has 312 divisors, whose sum is σ = 617075799912. Its totient is φ = 62851645440.

The previous prime is 201049657343. The next prime is 201049657357. The reversal of 201049657344 is 443756940102.

201049657344 is a `hidden beast` number, since 20 + 10 + 4 + 9 + 6 + 573 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54330015744 + 146719641600 = 233088^2 + 383040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 201049657344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201049657343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339037912 + ... + 339038504.

It is an arithmetic number, because the mean of its divisors is an integer number (1977807051).

Almost surely, 2^201049657344 is an apocalyptic number.

201049657344 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 201049657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308537899956).

201049657344 is an abundant number, since it is smaller than the sum of its proper divisors (416026142568).

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

201049657344 is a wasteful number, since it uses less digits than its factorization.

201049657344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 201049657344 in words is "two hundred one billion, forty-nine million, six hundred fifty-seven thousand, three hundred forty-four".