201824961047808 has 576 divisors, whose sum is σ = 653985196075008. Its totient is φ = 53939935641600.

The previous prime is 201824961047807. The next prime is 201824961047813. The reversal of 201824961047808 is 808740169428102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201824961047807) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12468328291 + ... + 12468344477.

It is an arithmetic number, because the mean of its divisors is an integer number (1135390965408).

Almost surely, 2^{201824961047808} is an apocalyptic number.

201824961047808 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 201824961047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326992598037504).

201824961047808 is an abundant number, since it is smaller than the sum of its proper divisors (452160235027200).

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

201824961047808 is a wasteful number, since it uses less digits than its factorization.

201824961047808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17058 (or 17044 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 201824961047808 in words is "two hundred one trillion, eight hundred twenty-four billion, nine hundred sixty-one million, forty-seven thousand, eight hundred eight".