12649456699920 has 240 divisors, whose sum is σ = 43931659479552. Its totient is φ = 3258404997120.

The previous prime is 12649456699909. The next prime is 12649456699921. The reversal of 12649456699920 is 2999665494621.

12649456699920 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 9 + 456 + 69 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12649456699921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11691004 + ... + 12727076.

Almost surely, 2^{12649456699920} is an apocalyptic number.

12649456699920 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 12649456699920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965829739776).

12649456699920 is an abundant number, since it is smaller than the sum of its proper divisors (31282202779632).

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

12649456699920 is a wasteful number, since it uses less digits than its factorization.

12649456699920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036670 (or 1036661 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 12649456699920 in words is "twelve trillion, six hundred forty-nine billion, four hundred fifty-six million, six hundred ninety-nine thousand, nine hundred twenty".