12633798528 has 512 divisors, whose sum is σ = 42552115200. Its totient is φ = 3662807040.

The previous prime is 12633798479. The next prime is 12633798533. The reversal of 12633798528 is 82589733621.

12633798528 is a `hidden beast` number, since 1 + 26 + 3 + 3 + 7 + 98 + 528 = 666.

It is a super-2 number, since 2×12633798528² (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 a congruent number.

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, 65460000 + ... + 65460192.

It is an arithmetic number, because the mean of its divisors is an integer number (83109600).

Almost surely, 2^12633798528 is an apocalyptic number.

12633798528 is a gapful number since it is divisible by the number (18) 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 12633798528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21276057600).

12633798528 is an abundant number, since it is smaller than the sum of its proper divisors (29918316672).

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

12633798528 is a wasteful number, since it uses less digits than its factorization.

12633798528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12633798528 in words is "twelve billion, six hundred thirty-three million, seven hundred ninety-eight thousand, five hundred twenty-eight".