7738516948761 has 15 divisors (see below), whose sum is σ = 11560044200133. Its totient is φ = 5158994608260.

The previous prime is 7738516948739. The next prime is 7738516948769. The reversal of 7738516948761 is 1678496158377.

The square root of 7738516948761 is 2781819.

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

7738516948761 is a `hidden beast` number, since 7 + 7 + 3 + 8 + 516 + 9 + 48 + 7 + 61 = 666.

It is not a de Polignac number, because 7738516948761 - 2¹⁹ = 7738516424473 is a prime.

It is a super-2 number, since 2×7738516948761² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7738516948761.

It is not an unprimeable number, because it can be changed into a prime (7738516948769) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24881826 + ... + 25190916.

Almost surely, 2^{7738516948761} is an apocalyptic number.

7738516948761 is the 2781819-th square number.

7738516948761 is the 1390910-th centered octagonal number.

It is an amenable number.

7738516948761 is a deficient number, since it is larger than the sum of its proper divisors (3821527251372).

7738516948761 is an frugal number, since it uses more digits than its factorization.

7738516948761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618194 (or 309094 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 7738516948761 in words is "seven trillion, seven hundred thirty-eight billion, five hundred sixteen million, nine hundred forty-eight thousand, seven hundred sixty-one".