1142114016 has 48 divisors (see below), whose sum is σ = 3155846400. Its totient is φ = 360667008.

The previous prime is 1142114011. The next prime is 1142114033. The reversal of 1142114016 is 6104112411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1142113983 and 1142114001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142114011) 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 7 ways as a sum of consecutive naturals, for example, 311256 + ... + 314903.

It is an arithmetic number, because the mean of its divisors is an integer number (65746800).

Almost surely, 2^1142114016 is an apocalyptic number.

1142114016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1142114016 is an abundant number, since it is smaller than the sum of its proper divisors (2013732384).

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

1142114016 is a wasteful number, since it uses less digits than its factorization.

1142114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626191 (or 626183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1142114016 is about 33795.1774074349. The cubic root of 1142114016 is about 1045.2892573189.

Adding to 1142114016 its reverse (6104112411), we get a palindrome (7246226427).

The spelling of 1142114016 in words is "one billion, one hundred forty-two million, one hundred fourteen thousand, sixteen".