12464438564160 has 2016 divisors, whose sum is σ = 52326214327296. Its totient is φ = 2708442316800.

The previous prime is 12464438564141. The next prime is 12464438564189. The reversal of 12464438564160 is 6146583446421.

12464438564160 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 44 + 38 + 564 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12464438564097 and 12464438564106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12304479814 + ... + 12304480826.

It is an arithmetic number, because the mean of its divisors is an integer number (25955463456).

Almost surely, 2^{12464438564160} is an apocalyptic number.

12464438564160 is a gapful number since it is divisible by the number (10) 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 12464438564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26163107163648).

12464438564160 is an abundant number, since it is smaller than the sum of its proper divisors (39861775763136).

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

12464438564160 is a wasteful number, since it uses less digits than its factorization.

12464438564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 12464438564160 in words is "twelve trillion, four hundred sixty-four billion, four hundred thirty-eight million, five hundred sixty-four thousand, one hundred sixty".