12461607552 has 64 divisors (see below), whose sum is σ = 34540349760. Its totient is φ = 3973263360.

The previous prime is 12461607551. The next prime is 12461607619. The reversal of 12461607552 is 25570616421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12461607552.

It is not an unprimeable number, because it can be changed into a prime (12461607551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696649 + ... + 714312.

It is an arithmetic number, because the mean of its divisors is an integer number (539692965).

Almost surely, 2^12461607552 is an apocalyptic number.

12461607552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12461607552 is an abundant number, since it is smaller than the sum of its proper divisors (22078742208).

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

12461607552 is a wasteful number, since it uses less digits than its factorization.

12461607552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411001 (or 1410989 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 12461607552 in words is "twelve billion, four hundred sixty-one million, six hundred seven thousand, five hundred fifty-two".