201383982112320 has 1792 divisors, whose sum is σ = 879365458944000. Its totient is φ = 42351835447296.

The previous prime is 201383982112277. The next prime is 201383982112333. The reversal of 201383982112320 is 23211289383102.

201383982112320 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 8 + 398 + 21 + 1 + 232 + 0 = 666.

201383982112320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24957733246 + ... + 24957741314.

It is an arithmetic number, because the mean of its divisors is an integer number (490717332000).

Almost surely, 2^{201383982112320} is an apocalyptic number.

201383982112320 is a gapful number since it is divisible by the number (20) 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 201383982112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439682729472000).

201383982112320 is an abundant number, since it is smaller than the sum of its proper divisors (677981476831680).

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

201383982112320 is a wasteful number, since it uses less digits than its factorization.

201383982112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 201383982112320 in words is "two hundred one trillion, three hundred eighty-three billion, nine hundred eighty-two million, one hundred twelve thousand, three hundred twenty".