1146186816 has 56 divisors (see below), whose sum is σ = 3106606944. Its totient is φ = 372741120.

The previous prime is 1146186803. The next prime is 1146186817. The reversal of 1146186816 is 6186816411.

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 (1146186817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64930 + ... + 80673.

It is an arithmetic number, because the mean of its divisors is an integer number (55475124).

Almost surely, 2^1146186816 is an apocalyptic number.

1146186816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1146186816 is an abundant number, since it is smaller than the sum of its proper divisors (1960420128).

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

1146186816 is a wasteful number, since it uses less digits than its factorization.

1146186816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145659 (or 145649 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 1146186816 is about 33855.3809017119. The cubic root of 1146186816 is about 1046.5302903351.

The spelling of 1146186816 in words is "one billion, one hundred forty-six million, one hundred eighty-six thousand, eight hundred sixteen".