12547761408 has 288 divisors, whose sum is σ = 45671136000. Its totient is φ = 3309133824.

The previous prime is 12547761341. The next prime is 12547761433. The reversal of 12547761408 is 80416774521.

12547761408 is a `hidden beast` number, since 1 + 2 + 547 + 7 + 61 + 40 + 8 = 666.

12547761408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619018 + ... + 638966.

Almost surely, 2^12547761408 is an apocalyptic number.

12547761408 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 12547761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22835568000).

12547761408 is an abundant number, since it is smaller than the sum of its proper divisors (33123374592).

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

12547761408 is a wasteful number, since it uses less digits than its factorization.

12547761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19994 (or 19974 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 12547761408 in words is "twelve billion, five hundred forty-seven million, seven hundred sixty-one thousand, four hundred eight".