12608462016 has 168 divisors, whose sum is σ = 38138892480. Its totient is φ = 3971483136.

The previous prime is 12608461981. The next prime is 12608462033. The reversal of 12608462016 is 61026480621.

12608462016 is a `hidden beast` number, since 1 + 2 + 608 + 46 + 2 + 0 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5109615 + ... + 5112081.

Almost surely, 2^12608462016 is an apocalyptic number.

12608462016 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 12608462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19069446240).

12608462016 is an abundant number, since it is smaller than the sum of its proper divisors (25530430464).

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

12608462016 is a wasteful number, since it uses less digits than its factorization.

12608462016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12608462016 in words is "twelve billion, six hundred eight million, four hundred sixty-two thousand, sixteen".