12414534663560 has 128 divisors (see below), whose sum is σ = 30200731891200. Its totient is φ = 4576820474880.

The previous prime is 12414534663551. The next prime is 12414534663577. The reversal of 12414534663560 is 6536643541421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12414534663499 and 12414534663508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364783745 + ... + 364817775.

It is an arithmetic number, because the mean of its divisors is an integer number (235943217900).

Almost surely, 2^{12414534663560} is an apocalyptic number.

12414534663560 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 12414534663560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100365945600).

12414534663560 is an abundant number, since it is smaller than the sum of its proper divisors (17786197227640).

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

12414534663560 is a wasteful number, since it uses less digits than its factorization.

12414534663560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47071 (or 47067 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 12414534663560 in words is "twelve trillion, four hundred fourteen billion, five hundred thirty-four million, six hundred sixty-three thousand, five hundred sixty".