12946454856 has 192 divisors, whose sum is σ = 39746004480. Its totient is φ = 3930301440.

The previous prime is 12946454837. The next prime is 12946454863. The reversal of 12946454856 is 65845464921.

It is a happy number.

12946454856 is a `hidden beast` number, since 1 + 2 + 9 + 46 + 4 + 548 + 56 = 666.

It is a super-2 number, since 2×12946454856² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018170 + ... + 1030806.

It is an arithmetic number, because the mean of its divisors is an integer number (207010440).

Almost surely, 2^12946454856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12946454856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19873002240).

12946454856 is an abundant number, since it is smaller than the sum of its proper divisors (26799549624).

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

12946454856 is a wasteful number, since it uses less digits than its factorization.

12946454856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12706 (or 12690 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 12946454856 in words is "twelve billion, nine hundred forty-six million, four hundred fifty-four thousand, eight hundred fifty-six".