12346906770432 has 528 divisors, whose sum is σ = 39559524292288. Its totient is φ = 3685420892160.

The previous prime is 12346906770421. The next prime is 12346906770437. The reversal of 12346906770432 is 23407760964321.

It is a happy number.

12346906770432 is a `hidden beast` number, since 1 + 23 + 4 + 69 + 0 + 67 + 70 + 432 = 666.

It is a super-2 number, since 2×12346906770432² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12346906770437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533493453 + ... + 533516595.

Almost surely, 2^{12346906770432} is an apocalyptic number.

12346906770432 is a gapful number since it is divisible by the number (12) 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 12346906770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779762146144).

12346906770432 is an abundant number, since it is smaller than the sum of its proper divisors (27212617521856).

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

12346906770432 is a wasteful number, since it uses less digits than its factorization.

12346906770432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23316 (or 23295 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 12346906770432 in words is "twelve trillion, three hundred forty-six billion, nine hundred six million, seven hundred seventy thousand, four hundred thirty-two".