12645408327642 has 48 divisors (see below), whose sum is σ = 29270858816160. Its totient is φ = 3933685537056.

The previous prime is 12645408327589. The next prime is 12645408327649. The reversal of 12645408327642 is 24672380454621.

It is a happy number.

12645408327642 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 540 + 8 + 32 + 7 + 64 + 2 = 666.

It is a super-3 number, since 3×12645408327642³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12645408327649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275909013 + ... + 275954840.

It is an arithmetic number, because the mean of its divisors is an integer number (609809558670).

Almost surely, 2^{12645408327642} is an apocalyptic number.

12645408327642 is an abundant number, since it is smaller than the sum of its proper divisors (16625450488518).

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

12645408327642 is a wasteful number, since it uses less digits than its factorization.

12645408327642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551863947 (or 551863944 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 12645408327642 in words is "twelve trillion, six hundred forty-five billion, four hundred eight million, three hundred twenty-seven thousand, six hundred forty-two".