1268584138432 has 28 divisors (see below), whose sum is σ = 2710988701456. Its totient is φ = 585500371200.

The previous prime is 1268584138399. The next prime is 1268584138439. The reversal of 1268584138432 is 2348314858621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1268584138439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 762369444 + ... + 762371107.

It is an arithmetic number, because the mean of its divisors is an integer number (96821025052).

Almost surely, 2^{1268584138432} is an apocalyptic number.

It is an amenable number.

1268584138432 is an abundant number, since it is smaller than the sum of its proper divisors (1442404563024).

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

1268584138432 is a wasteful number, since it uses less digits than its factorization.

1268584138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524740576 (or 1524740566 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 55.

The spelling of 1268584138432 in words is "one trillion, two hundred sixty-eight billion, five hundred eighty-four million, one hundred thirty-eight thousand, four hundred thirty-two".