12703350546432 has 1344 divisors, whose sum is σ = 48818875996800. Its totient is φ = 3151868461056.

The previous prime is 12703350546353. The next prime is 12703350546433. The reversal of 12703350546432 is 23464505330721.

It is a happy number.

12703350546432 is a `hidden beast` number, since 1 + 2 + 70 + 3 + 3 + 5 + 0 + 546 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×12703350546432² (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 (12703350546433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5588802448 + ... + 5588804720.

It is an arithmetic number, because the mean of its divisors is an integer number (36323568450).

Almost surely, 2^{12703350546432} is an apocalyptic number.

12703350546432 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 12703350546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24409437998400).

12703350546432 is an abundant number, since it is smaller than the sum of its proper divisors (36115525450368).

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

12703350546432 is a wasteful number, since it uses less digits than its factorization.

12703350546432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 12703350546432 in words is "twelve trillion, seven hundred three billion, three hundred fifty million, five hundred forty-six thousand, four hundred thirty-two".