201362180448 has 576 divisors, whose sum is σ = 682770622464. Its totient is φ = 51277824000.

The previous prime is 201362180429. The next prime is 201362180449. The reversal of 201362180448 is 844081263102.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201362180449) 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 95 ways as a sum of consecutive naturals, for example, 94049458 + ... + 94051598.

It is an arithmetic number, because the mean of its divisors is an integer number (1185365664).

Almost surely, 2^201362180448 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 201362180448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341385311232).

201362180448 is an abundant number, since it is smaller than the sum of its proper divisors (481408442016).

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

201362180448 is a wasteful number, since it uses less digits than its factorization.

201362180448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 201362180448 in words is "two hundred one billion, three hundred sixty-two million, one hundred eighty thousand, four hundred forty-eight".