1146444768 has 108 divisors (see below), whose sum is σ = 3792526920. Its totient is φ = 327551616.

The previous prime is 1146444763. The next prime is 1146444809. The reversal of 1146444768 is 8674446411.

1146444768 is a `hidden beast` number, since 1 + 146 + 4 + 447 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146444763) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26508 + ... + 54731.

It is an arithmetic number, because the mean of its divisors is an integer number (35115990).

Almost surely, 2^1146444768 is an apocalyptic number.

1146444768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1146444768 is an abundant number, since it is smaller than the sum of its proper divisors (2646082152).

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

1146444768 is a wasteful number, since it uses less digits than its factorization.

1146444768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81269 (or 81251 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1146444768 is about 33859.1903033726. The cubic root of 1146444768 is about 1046.6087924689.

The spelling of 1146444768 in words is "one billion, one hundred forty-six million, four hundred forty-four thousand, seven hundred sixty-eight".