7648869704281 has 27 divisors (see below), whose sum is σ = 8742149120061. Its totient is φ = 6688292723424.

The previous prime is 7648869704269. The next prime is 7648869704293. The reversal of 7648869704281 is 1824079688467.

The square root of 7648869704281 is 2765659.

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

It is an interprime number because it is at equal distance from previous prime (7648869704269) and next prime (7648869704293).

It can be written as a sum of positive squares in 4 ways, for example, as 2996738369881 + 4652131334400 = 1731109^2 + 2156880^2 .

It is not a de Polignac number, because 7648869704281 - 2¹³ = 7648869696089 is a prime.

It is a super-3 number, since 3×7648869704281³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7648869704281.

It is not an unprimeable number, because it can be changed into a prime (7648869704081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 683112175 + ... + 683123371.

It is an arithmetic number, because the mean of its divisors is an integer number (323783300743).

Almost surely, 2^{7648869704281} is an apocalyptic number.

7648869704281 is the 2765659-th square number.

7648869704281 is the 1382830-th centered octagonal number.

It is an amenable number.

7648869704281 is a deficient number, since it is larger than the sum of its proper divisors (1093279415780).

7648869704281 is an frugal number, since it uses more digits than its factorization.

7648869704281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22458 (or 11229 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 70.

The spelling of 7648869704281 in words is "seven trillion, six hundred forty-eight billion, eight hundred sixty-nine million, seven hundred four thousand, two hundred eighty-one".