1142329179264 has 384 divisors, whose sum is σ = 3767748526080. Its totient is φ = 300255621120.

The previous prime is 1142329179209. The next prime is 1142329179293. The reversal of 1142329179264 is 4629719232411.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139457409 + ... + 139465599.

It is an arithmetic number, because the mean of its divisors is an integer number (9811845120).

Almost surely, 2^{1142329179264} is an apocalyptic number.

1142329179264 is a gapful number since it is divisible by the number (14) 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 1142329179264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883874263040).

1142329179264 is an abundant number, since it is smaller than the sum of its proper divisors (2625419346816).

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

1142329179264 is a wasteful number, since it uses less digits than its factorization.

1142329179264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8548 (or 8523 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 1142329179264 in words is "one trillion, one hundred forty-two billion, three hundred twenty-nine million, one hundred seventy-nine thousand, two hundred sixty-four".