1146405888 has 132 divisors (see below), whose sum is σ = 3484976560. Its totient is φ = 361967616.

The previous prime is 1146405881. The next prime is 1146405899. The reversal of 1146405888 is 8885046411.

1146405888 is a `hidden beast` number, since 1 + 1 + 4 + 64 + 0 + 588 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1146405881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171831 + ... + 178377.

Almost surely, 2^1146405888 is an apocalyptic number.

1146405888 is a gapful number since it is divisible by the number (18) 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 1146405888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742488280).

1146405888 is an abundant number, since it is smaller than the sum of its proper divisors (2338570672).

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

1146405888 is a wasteful number, since it uses less digits than its factorization.

1146405888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6592 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1146405888 is about 33858.6161560097. The cubic root of 1146405888 is about 1046.5969609323.

The spelling of 1146405888 in words is "one billion, one hundred forty-six million, four hundred five thousand, eight hundred eighty-eight".