12275769678048 has 192 divisors, whose sum is σ = 35918426880000. Its totient is φ = 4078891095552.

The previous prime is 12275769678043. The next prime is 12275769678059. The reversal of 12275769678048 is 84087696757221.

It is a happy number.

12275769678048 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 576 + 9 + 6 + 7 + 8 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12275769678041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558032573 + ... + 1558040451.

It is an arithmetic number, because the mean of its divisors is an integer number (187075140000).

Almost surely, 2^{12275769678048} is an apocalyptic number.

12275769678048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12275769678048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959213440000).

12275769678048 is an abundant number, since it is smaller than the sum of its proper divisors (23642657201952).

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

12275769678048 is a wasteful number, since it uses less digits than its factorization.

12275769678048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13414 (or 13400 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 12275769678048 in words is "twelve trillion, two hundred seventy-five billion, seven hundred sixty-nine million, six hundred seventy-eight thousand, forty-eight".