12348491177764 has 27 divisors (see below), whose sum is σ = 25138100048187. Its totient is φ = 5292189420504.

The previous prime is 12348491177747. The next prime is 12348491177797. The reversal of 12348491177764 is 46777119484321.

It is a happy number.

The square root of 12348491177764 is 3514042.

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

It is a junction number, because it is equal to n+sod(n) for n = 12348491177696 and 12348491177705.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49071087 + ... + 49322089.

Almost surely, 2^{12348491177764} is an apocalyptic number.

12348491177764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12348491177764 is the 3514042-nd square number.

It is an amenable number.

12348491177764 is an abundant number, since it is smaller than the sum of its proper divisors (12789608870423).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12348491177764 is an frugal number, since it uses more digits than its factorization.

12348491177764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502024 (or 251012 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 64.

Multiplying 12348491177764 by its sum of digits (64), we get a square (790303435376896 = 28112336²).

The spelling of 12348491177764 in words is "twelve trillion, three hundred forty-eight billion, four hundred ninety-one million, one hundred seventy-seven thousand, seven hundred sixty-four".