12649834800 has 300 divisors, whose sum is σ = 46968221520. Its totient is φ = 3256727040.

The previous prime is 12649834741. The next prime is 12649834817. The reversal of 12649834800 is 843894621.

It is a happy number.

12649834800 is a `hidden beast` number, since 126 + 49 + 8 + 3 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 932869 + ... + 946331.

Almost surely, 2^12649834800 is an apocalyptic number.

12649834800 is a gapful number since it is divisible by the number (10) 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 12649834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23484110760).

12649834800 is an abundant number, since it is smaller than the sum of its proper divisors (34318386720).

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

12649834800 is a wasteful number, since it uses less digits than its factorization.

12649834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13522 (or 13502 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12649834800 in words is "twelve billion, six hundred forty-nine million, eight hundred thirty-four thousand, eight hundred".