12061648331460 has 1920 divisors, whose sum is σ = 50476275311616. Its totient is φ = 2339100426240.

The previous prime is 12061648331441. The next prime is 12061648331471. The reversal of 12061648331460 is 6413384616021.

12061648331460 is a `hidden beast` number, since 1 + 20 + 6 + 1 + 6 + 483 + 3 + 146 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 639 ways as a sum of consecutive naturals, for example, 39288756627 + ... + 39288756933.

Almost surely, 2^{12061648331460} is an apocalyptic number.

12061648331460 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 12061648331460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25238137655808).

12061648331460 is an abundant number, since it is smaller than the sum of its proper divisors (38414626980156).

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

12061648331460 is a wasteful number, since it uses less digits than its factorization.

12061648331460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12061648331460 in words is "twelve trillion, sixty-one billion, six hundred forty-eight million, three hundred thirty-one thousand, four hundred sixty".