201149382321460 has 24 divisors (see below), whose sum is σ = 425497014580680. Its totient is φ = 79872455460864.

The previous prime is 201149382321457. The next prime is 201149382321557. The reversal of 201149382321460 is 64123283941102.

It can be written as a sum of positive squares in 4 ways, for example, as 15376734857124 + 185772647464336 = 3921318^2 + 13629844^2 .

It is a super-2 number, since 2×201149382321460² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201149382321460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36706088925 + ... + 36706094404.

It is an arithmetic number, because the mean of its divisors is an integer number (17729042274195).

Almost surely, 2^{201149382321460} is an apocalyptic number.

201149382321460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201149382321460 is an abundant number, since it is smaller than the sum of its proper divisors (224347632259220).

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

201149382321460 is a wasteful number, since it uses less digits than its factorization.

201149382321460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73412183475 (or 73412183473 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 201149382321460 in words is "two hundred one trillion, one hundred forty-nine billion, three hundred eighty-two million, three hundred twenty-one thousand, four hundred sixty".