7306214406001 has 9 divisors (see below), whose sum is σ = 8499087747801. Its totient is φ = 6262453272852.

The previous prime is 7306214405993. The next prime is 7306214406011. The reversal of 7306214406001 is 1006044126037.

The square root of 7306214406001 is 2703001.

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

It is not a de Polignac number, because 7306214406001 - 2³ = 7306214405993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7306214406011) 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, 18727936 + ... + 19114078.

It is an arithmetic number, because the mean of its divisors is an integer number (944343083089).

Almost surely, 2^{7306214406001} is an apocalyptic number.

7306214406001 is the 2703001-st square number.

7306214406001 is the 1351501-st centered octagonal number.

It is an amenable number.

7306214406001 is a deficient number, since it is larger than the sum of its proper divisors (1192873341800).

7306214406001 is an frugal number, since it uses more digits than its factorization.

7306214406001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772300 (or 386150 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 7306214406001 in words is "seven trillion, three hundred six billion, two hundred fourteen million, four hundred six thousand, one".