12633208896 has 448 divisors, whose sum is σ = 44368736256. Its totient is φ = 3075072000.

The previous prime is 12633208859. The next prime is 12633208957. The reversal of 12633208896 is 69880233621.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18021346 + ... + 18022046.

Almost surely, 2^12633208896 is an apocalyptic number.

12633208896 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 12633208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184368128).

12633208896 is an abundant number, since it is smaller than the sum of its proper divisors (31735527360).

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

12633208896 is a wasteful number, since it uses less digits than its factorization.

12633208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 12633208896 in words is "twelve billion, six hundred thirty-three million, two hundred eight thousand, eight hundred ninety-six".