12542541516 has 144 divisors (see below), whose sum is σ = 35636240640. Its totient is φ = 3700287360.

The previous prime is 12542541461. The next prime is 12542541521. The reversal of 12542541516 is 61514524521.

12542541516 is a `hidden beast` number, since 1 + 25 + 42 + 541 + 51 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667206 + ... + 685746.

Almost surely, 2^12542541516 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 12542541516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818120320).

12542541516 is an abundant number, since it is smaller than the sum of its proper divisors (23093699124).

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

12542541516 is a wasteful number, since it uses less digits than its factorization.

12542541516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18636 (or 18631 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The spelling of 12542541516 in words is "twelve billion, five hundred forty-two million, five hundred forty-one thousand, five hundred sixteen".