1142838816 has 96 divisors (see below), whose sum is σ = 3434296320. Its totient is φ = 325975296.

The previous prime is 1142838779. The next prime is 1142838817. The reversal of 1142838816 is 6188382411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1142838817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562795 + ... + 564821.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 2^1142838816 is an apocalyptic number.

1142838816 is a gapful number since it is divisible by the number (16) 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 1142838816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717148160).

1142838816 is an abundant number, since it is smaller than the sum of its proper divisors (2291457504).

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

1142838816 is a wasteful number, since it uses less digits than its factorization.

1142838816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2878 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 1142838816 is about 33805.8991301814. The cubic root of 1142838816 is about 1045.5103284885.

The spelling of 1142838816 in words is "one billion, one hundred forty-two million, eight hundred thirty-eight thousand, eight hundred sixteen".