7348995075409 has 27 divisors (see below), whose sum is σ = 8016642108657. Its totient is φ = 6733883052000.

The previous prime is 7348995075263. The next prime is 7348995075451. The reversal of 7348995075409 is 9045705998437.

It is a happy number.

The square root of 7348995075409 is 2710903.

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 1311792262225 + 6037202813184 = 1145335^2 + 2457072^2 .

It is not a de Polignac number, because 7348995075409 - 2²⁹ = 7348458204497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7348995175409) 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, 5321501899 + ... + 5321503279.

It is an arithmetic number, because the mean of its divisors is an integer number (296912670691).

Almost surely, 2^{7348995075409} is an apocalyptic number.

7348995075409 is the 2710903-rd square number.

7348995075409 is the 1355452-nd centered octagonal number.

It is an amenable number.

7348995075409 is a deficient number, since it is larger than the sum of its proper divisors (667647033248).

7348995075409 is an frugal number, since it uses more digits than its factorization.

7348995075409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 70.

The spelling of 7348995075409 in words is "seven trillion, three hundred forty-eight billion, nine hundred ninety-five million, seventy-five thousand, four hundred nine".