14945201360 has 40 divisors (see below), whose sum is σ = 34753478760. Its totient is φ = 5977068032.

The previous prime is 14945201287. The next prime is 14945201363. The reversal of 14945201360 is 6310254941.

It can be written as a sum of positive squares in 4 ways, for example, as 450967696 + 14494233664 = 21236^2 + 120392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 14945201360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14945201363) 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 7 ways as a sum of consecutive naturals, for example, 616346 + ... + 640134.

It is an arithmetic number, because the mean of its divisors is an integer number (868836969).

Almost surely, 2^14945201360 is an apocalyptic number.

14945201360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14945201360 is an abundant number, since it is smaller than the sum of its proper divisors (19808277400).

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

14945201360 is a wasteful number, since it uses less digits than its factorization.

14945201360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31655 (or 31649 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 14945201360 in words is "fourteen billion, nine hundred forty-five million, two hundred one thousand, three hundred sixty".