14760956316001 has 27 divisors (see below), whose sum is σ = 17222904147897. Its totient is φ = 12614051116800.

The previous prime is 14760956315927. The next prime is 14760956316011. The reversal of 14760956316001 is 10061365906741.

It is a happy number.

The square root of 14760956316001 is 3841999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1601300430625 + 13159655885376 = 1265425^2 + 3627624^2 .

It is not a de Polignac number, because 14760956316001 - 2⁹ = 14760956315489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (14760956316011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12290554201 + ... + 12290555401.

It is an arithmetic number, because the mean of its divisors is an integer number (637885338811).

Almost surely, 2^{14760956316001} is an apocalyptic number.

14760956316001 is the 3841999-th square number.

14760956316001 is the 1921000-th centered octagonal number.

It is an amenable number.

14760956316001 is a deficient number, since it is larger than the sum of its proper divisors (2461947831896).

14760956316001 is an frugal number, since it uses more digits than its factorization.

14760956316001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 14760956316001 by its sum of digits (49), we get a square (723286859484049 = 26893993²).

14760956316001 divided by its sum of digits (49) gives a square (301244006449 = 548857²).

The spelling of 14760956316001 in words is "fourteen trillion, seven hundred sixty billion, nine hundred fifty-six million, three hundred sixteen thousand, one".