12467607516 has 288 divisors, whose sum is σ = 40677331968. Its totient is φ = 3129477120.

The previous prime is 12467607469. The next prime is 12467607517. The reversal of 12467607516 is 61570676421.

12467607516 is a `hidden beast` number, since 1 + 24 + 6 + 7 + 607 + 5 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12467607517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25392031 + ... + 25392521.

It is an arithmetic number, because the mean of its divisors is an integer number (141240736).

Almost surely, 2^12467607516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12467607516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20338665984).

12467607516 is an abundant number, since it is smaller than the sum of its proper divisors (28209724452).

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

12467607516 is a wasteful number, since it uses less digits than its factorization.

12467607516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12467607516 in words is "twelve billion, four hundred sixty-seven million, six hundred seven thousand, five hundred sixteen".