1416077568 has 54 divisors (see below), whose sum is σ = 4082907374. Its totient is φ = 472025088.

The previous prime is 1416077563. The next prime is 1416077587. The reversal of 1416077568 is 8657706141.

1416077568 is a `hidden beast` number, since 1 + 4 + 16 + 0 + 77 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1265082624 + 150994944 = 35568^2 + 12288^2 .

It is a super-3 number, since 3×1416077568³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1416077561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305005 + ... + 309612.

Almost surely, 2^1416077568 is an apocalyptic number.

1416077568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1416077568 is an abundant number, since it is smaller than the sum of its proper divisors (2666829806).

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

1416077568 is an equidigital number, since it uses as much as digits as its factorization.

1416077568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614639 (or 614622 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1416077568 is about 37630.8061035105. The cubic root of 1416077568 is about 1122.9549858826.

The spelling of 1416077568 in words is "one billion, four hundred sixteen million, seventy-seven thousand, five hundred sixty-eight".