1142468112768 has 128 divisors (see below), whose sum is σ = 3205309363200. Its totient is φ = 359547402240.

The previous prime is 1142468112767. The next prime is 1142468112839. The reversal of 1142468112768 is 8672118642411.

It is a happy number.

It is a Cunningham number, because it is equal to 1068863²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1142468112768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142468112763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1870513 + ... + 2404943.

It is an arithmetic number, because the mean of its divisors is an integer number (25041479400).

Almost surely, 2^{1142468112768} 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 1142468112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602654681600).

1142468112768 is an abundant number, since it is smaller than the sum of its proper divisors (2062841250432).

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

1142468112768 is a wasteful number, since it uses less digits than its factorization.

1142468112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534760 (or 534748 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The spelling of 1142468112768 in words is "one trillion, one hundred forty-two billion, four hundred sixty-eight million, one hundred twelve thousand, seven hundred sixty-eight".