12446493696 has 880 divisors, whose sum is σ = 48935025216. Its totient is φ = 3057647616.

The previous prime is 12446493643. The next prime is 12446493757. The reversal of 12446493696 is 69639464421.

12446493696 is a `hidden beast` number, since 1 + 2 + 4 + 464 + 93 + 6 + 96 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128314320 + ... + 128314416.

Almost surely, 2^12446493696 is an apocalyptic number.

12446493696 is a gapful number since it is divisible by the number (16) 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 12446493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24467512608).

12446493696 is an abundant number, since it is smaller than the sum of its proper divisors (36488531520).

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

12446493696 is a wasteful number, since it uses less digits than its factorization.

12446493696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 12446493696 in words is "twelve billion, four hundred forty-six million, four hundred ninety-three thousand, six hundred ninety-six".