12337164086480 has 40 divisors (see below), whose sum is σ = 29076836740872. Its totient is φ = 4867264733184.

The previous prime is 12337164086353. The next prime is 12337164086501. The reversal of 12337164086480 is 8468046173321.

It can be written as a sum of positive squares in 4 ways, for example, as 844141987984 + 11493022098496 = 918772^2 + 3390136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×12337164086480³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056258209 + ... + 1056269888.

Almost surely, 2^{12337164086480} is an apocalyptic number.

12337164086480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12337164086480 is an abundant number, since it is smaller than the sum of its proper divisors (16739672654392).

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

12337164086480 is a wasteful number, since it uses less digits than its factorization.

12337164086480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112528183 (or 2112528177 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 12337164086480 in words is "twelve trillion, three hundred thirty-seven billion, one hundred sixty-four million, eighty-six thousand, four hundred eighty".