12963014064 has 640 divisors, whose sum is σ = 51623362560. Its totient is φ = 3004646400.

The previous prime is 12963014003. The next prime is 12963014083. The reversal of 12963014064 is 46041036921.

12963014064 is a `hidden beast` number, since 1 + 2 + 9 + 630 + 14 + 0 + 6 + 4 = 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 127 ways as a sum of consecutive naturals, for example, 13404909 + ... + 13405875.

It is an arithmetic number, because the mean of its divisors is an integer number (80661504).

Almost surely, 2^12963014064 is an apocalyptic number.

12963014064 is a gapful number since it is divisible by the number (14) 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 12963014064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25811681280).

12963014064 is an abundant number, since it is smaller than the sum of its proper divisors (38660348496).

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

12963014064 is a wasteful number, since it uses less digits than its factorization.

12963014064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12963014064 in words is "twelve billion, nine hundred sixty-three million, fourteen thousand, sixty-four".