1416657768 has 96 divisors (see below), whose sum is σ = 3725715840. Its totient is φ = 448842240.

The previous prime is 1416657761. The next prime is 1416657769. The reversal of 1416657768 is 8677566141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1416657768.

It is not an unprimeable number, because it can be changed into a prime (1416657761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3059505 + ... + 3059967.

It is an arithmetic number, because the mean of its divisors is an integer number (38809540).

Almost surely, 2^1416657768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416657768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862857920).

1416657768 is an abundant number, since it is smaller than the sum of its proper divisors (2309058072).

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

1416657768 is a wasteful number, since it uses less digits than its factorization.

1416657768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 732 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 1416657768 is about 37638.5144233935. The cubic root of 1416657768 is about 1123.1083318891.

The spelling of 1416657768 in words is "one billion, four hundred sixteen million, six hundred fifty-seven thousand, seven hundred sixty-eight".