1445568768 has 360 divisors, whose sum is σ = 5152253568. Its totient is φ = 394149888.

The previous prime is 1445568763. The next prime is 1445568827. The reversal of 1445568768 is 8678655441.

1445568768 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 568 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1445568763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3338280 + ... + 3338712.

Almost surely, 2^1445568768 is an apocalyptic number.

1445568768 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 1445568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576126784).

1445568768 is an abundant number, since it is smaller than the sum of its proper divisors (3706684800).

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

1445568768 is an equidigital number, since it uses as much as digits as its factorization.

1445568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 468 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 1445568768 is about 38020.6360809495. The cubic root of 1445568768 is about 1130.6970320353.

The spelling of 1445568768 in words is "one billion, four hundred forty-five million, five hundred sixty-eight thousand, seven hundred sixty-eight".