12351034670688 has 1536 divisors, whose sum is σ = 45961858252800. Its totient is φ = 3147824332800.

The previous prime is 12351034670617. The next prime is 12351034670701. The reversal of 12351034670688 is 88607643015321.

12351034670688 is a `hidden beast` number, since 1 + 2 + 3 + 510 + 3 + 4 + 67 + 0 + 68 + 8 = 666.

12351034670688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24554740645 + ... + 24554741147.

It is an arithmetic number, because the mean of its divisors is an integer number (29923084800).

Almost surely, 2^{12351034670688} is an apocalyptic number.

12351034670688 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 12351034670688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980929126400).

12351034670688 is an abundant number, since it is smaller than the sum of its proper divisors (33610823582112).

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

12351034670688 is a wasteful number, since it uses less digits than its factorization.

12351034670688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12351034670688 in words is "twelve trillion, three hundred fifty-one billion, thirty-four million, six hundred seventy thousand, six hundred eighty-eight".