511216450416 has 720 divisors, whose sum is σ = 1812341502720. Its totient is φ = 137529342720.

The previous prime is 511216450403. The next prime is 511216450447. The reversal of 511216450416 is 614054612115.

511216450416 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 1 + 645 + 0 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×511216450416² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 795048591 + ... + 795049233.

It is an arithmetic number, because the mean of its divisors is an integer number (2517140976).

Almost surely, 2^511216450416 is an apocalyptic number.

511216450416 is a gapful number since it is divisible by the number (56) 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 511216450416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906170751360).

511216450416 is an abundant number, since it is smaller than the sum of its proper divisors (1301125052304).

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

511216450416 is a wasteful number, since it uses less digits than its factorization.

511216450416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 511216450416 in words is "five hundred eleven billion, two hundred sixteen million, four hundred fifty thousand, four hundred sixteen".