201199016368 has 160 divisors (see below), whose sum is σ = 461130485760. Its totient is φ = 83264163840.

The previous prime is 201199016363. The next prime is 201199016377. The reversal of 201199016368 is 863610991102.

201199016368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201199016368² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201199016363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 228375288 + ... + 228376168.

It is an arithmetic number, because the mean of its divisors is an integer number (2882065536).

Almost surely, 2^201199016368 is an apocalyptic number.

201199016368 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 201199016368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230565242880).

201199016368 is an abundant number, since it is smaller than the sum of its proper divisors (259931469392).

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

201199016368 is a wasteful number, since it uses less digits than its factorization.

201199016368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 201199016368 in words is "two hundred one billion, one hundred ninety-nine million, sixteen thousand, three hundred sixty-eight".