12261581482864 has 160 divisors (see below), whose sum is σ = 29690731671552. Its totient is φ = 4783781376000.

The previous prime is 12261581482859. The next prime is 12261581482879. The reversal of 12261581482864 is 46828418516221.

It is a junction number, because it is equal to n+sod(n) for n = 12261581482799 and 12261581482808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113921554 + ... + 114029134.

Almost surely, 2^{12261581482864} is an apocalyptic number.

12261581482864 is a gapful number since it is divisible by the number (14) 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 12261581482864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845365835776).

12261581482864 is an abundant number, since it is smaller than the sum of its proper divisors (17429150188688).

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

12261581482864 is a wasteful number, since it uses less digits than its factorization.

12261581482864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109575 (or 109569 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 58.

The spelling of 12261581482864 in words is "twelve trillion, two hundred sixty-one billion, five hundred eighty-one million, four hundred eighty-two thousand, eight hundred sixty-four".