12348765625 has 63 divisors (see below), whose sum is σ = 18098381619. Its totient is φ = 8401050000.

The previous prime is 12348765623. The next prime is 12348765659. The reversal of 12348765625 is 52656784321.

The square root of 12348765625 is 111125.

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

It can be written as a sum of positive squares in 3 ways, for example, as 10818704169 + 1530061456 = 104013^2 + 39116^2 .

It is not a de Polignac number, because 12348765625 - 2¹ = 12348765623 is a prime.

It is a super-2 number, since 2×12348765625² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12348765623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 97234312 + ... + 97234438.

Almost surely, 2^12348765625 is an apocalyptic number.

12348765625 is the 111125-th square number.

12348765625 is the 55563-rd centered octagonal number.

It is an amenable number.

12348765625 is a deficient number, since it is larger than the sum of its proper divisors (5749615994).

12348765625 is an frugal number, since it uses more digits than its factorization.

12348765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 139 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

Multiplying 12348765625 by its sum of digits (49), we get a square (605089515625 = 777875²).

12348765625 divided by its sum of digits (49) gives a square (252015625 = 15875²).

The spelling of 12348765625 in words is "twelve billion, three hundred forty-eight million, seven hundred sixty-five thousand, six hundred twenty-five".