511016144416 has 12 divisors (see below), whose sum is σ = 1006063034382. Its totient is φ = 255508072192.

The previous prime is 511016144413. The next prime is 511016144437. The reversal of 511016144416 is 614441610115.

It can be written as a sum of positive squares in only one way, i.e., 391120156816 + 119895987600 = 625396^2 + 346260^2 .

It is a super-2 number, since 2×511016144416² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511016144413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7984627225 + ... + 7984627288.

Almost surely, 2^511016144416 is an apocalyptic number.

It is an amenable number.

511016144416 is a deficient number, since it is larger than the sum of its proper divisors (495046889966).

511016144416 is a wasteful number, since it uses less digits than its factorization.

511016144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15969254523 (or 15969254515 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 511016144416 in words is "five hundred eleven billion, sixteen million, one hundred forty-four thousand, four hundred sixteen".