12908429034048 has 392 divisors, whose sum is σ = 42804581721120. Its totient is φ = 3836556472320.

The previous prime is 12908429034047. The next prime is 12908429034049. The reversal of 12908429034048 is 84043092480921.

It is a happy number.

12908429034048 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 8 + 4 + 290 + 340 + 4 + 8 = 666.

12908429034048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12908429034047) and next prime (12908429034049).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12908429033985 and 12908429034003.

It is not an unprimeable number, because it can be changed into a prime (12908429034047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14641603 + ... + 15498173.

Almost surely, 2^{12908429034048} is an apocalyptic number.

12908429034048 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 12908429034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21402290860560).

12908429034048 is an abundant number, since it is smaller than the sum of its proper divisors (29896152687072).

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

12908429034048 is an equidigital number, since it uses as much as digits as its factorization.

12908429034048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856637 (or 856612 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 12908429034048 in words is "twelve trillion, nine hundred eight billion, four hundred twenty-nine million, thirty-four thousand, forty-eight".