12046416480 has 576 divisors, whose sum is σ = 51074150400. Its totient is φ = 2523156480.

The previous prime is 12046416463. The next prime is 12046416493. The reversal of 12046416480 is 8461464021.

It is a happy number.

12046416480 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 6 + 4 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5936106 + ... + 5938134.

It is an arithmetic number, because the mean of its divisors is an integer number (88670400).

Almost surely, 2^12046416480 is an apocalyptic number.

12046416480 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 12046416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25537075200).

12046416480 is an abundant number, since it is smaller than the sum of its proper divisors (39027733920).

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

12046416480 is a wasteful number, since it uses less digits than its factorization.

12046416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 1204641 and 6480, that added together give a palindrome (1211121).

The spelling of 12046416480 in words is "twelve billion, forty-six million, four hundred sixteen thousand, four hundred eighty".