12946498165632 has 128 divisors (see below), whose sum is σ = 34663606560000. Its totient is φ = 4281078763520.

The previous prime is 12946498165621. The next prime is 12946498165669. The reversal of 12946498165632 is 23656189464921.

12946498165632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12946498165632² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150818788 + ... + 150904604.

It is an arithmetic number, because the mean of its divisors is an integer number (270809426250).

Almost surely, 2^{12946498165632} is an apocalyptic number.

12946498165632 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 12946498165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17331803280000).

12946498165632 is an abundant number, since it is smaller than the sum of its proper divisors (21717108394368).

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

12946498165632 is a wasteful number, since it uses less digits than its factorization.

12946498165632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88964 (or 88952 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 66.

The spelling of 12946498165632 in words is "twelve trillion, nine hundred forty-six billion, four hundred ninety-eight million, one hundred sixty-five thousand, six hundred thirty-two".