201286431216 has 160 divisors (see below), whose sum is σ = 622444605440. Its totient is φ = 61910956800.

The previous prime is 201286431197. The next prime is 201286431217. The reversal of 201286431216 is 612134682102.

It is a happy number.

201286431216 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 8 + 6 + 431 + 216 = 666.

201286431216 is digitally balanced in base 3, because in such base 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201286431217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20386761 + ... + 20396631.

It is an arithmetic number, because the mean of its divisors is an integer number (3890278784).

Almost surely, 2^201286431216 is an apocalyptic number.

201286431216 is a gapful number since it is divisible by the number (26) 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 201286431216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311222302720).

201286431216 is an abundant number, since it is smaller than the sum of its proper divisors (421158174224).

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

201286431216 is a wasteful number, since it uses less digits than its factorization.

201286431216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13532 (or 13520 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 201286431216 in words is "two hundred one billion, two hundred eighty-six million, four hundred thirty-one thousand, two hundred sixteen".