14437347721801 has 9 divisors (see below), whose sum is σ = 14464219308871. Its totient is φ = 14410525985392.

The previous prime is 14437347721787. The next prime is 14437347721813. The reversal of 14437347721801 is 10812774373441.

The square root of 14437347721801 is 3799651.

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

It can be written as a sum of positive squares in only one way, i.e., 2653396655625 + 11783951066176 = 1628925^2 + 3432776^2 .

It is not a de Polignac number, because 14437347721801 - 2⁷ = 14437347721673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14437347721861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2230391901 + ... + 2230398373.

Almost surely, 2^{14437347721801} is an apocalyptic number.

14437347721801 is the 3799651-st square number.

14437347721801 is the 1899826-th centered octagonal number.

It is an amenable number.

14437347721801 is a deficient number, since it is larger than the sum of its proper divisors (26871587070).

14437347721801 is an frugal number, since it uses more digits than its factorization.

14437347721801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14120 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 52.

The spelling of 14437347721801 in words is "fourteen trillion, four hundred thirty-seven billion, three hundred forty-seven million, seven hundred twenty-one thousand, eight hundred one".