12849146513280 has 3072 divisors, whose sum is σ = 62072075520000. Its totient is φ = 2364580823040.

The previous prime is 12849146513279. The next prime is 12849146513317. The reversal of 12849146513280 is 8231564194821.

12849146513280 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 9 + 1 + 46 + 513 + 2 + 80 = 666.

It is a super-2 number, since 2×12849146513280² (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 383 ways as a sum of consecutive naturals, for example, 36817038546 + ... + 36817038894.

It is an arithmetic number, because the mean of its divisors is an integer number (20205753750).

Almost surely, 2^{12849146513280} is an apocalyptic number.

12849146513280 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 12849146513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31036037760000).

12849146513280 is an abundant number, since it is smaller than the sum of its proper divisors (49222929006720).

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

12849146513280 is a wasteful number, since it uses less digits than its factorization.

12849146513280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 12849146513280 in words is "twelve trillion, eight hundred forty-nine billion, one hundred forty-six million, five hundred thirteen thousand, two hundred eighty".