511045602320416 has 384 divisors, whose sum is σ = 1144496724940800. Its totient is φ = 223463787724800.

The previous prime is 511045602320377. The next prime is 511045602320479. The reversal of 511045602320416 is 614023206540115.

It is a super-2 number, since 2×511045602320416² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10480597476 + ... + 10480646236.

It is an arithmetic number, because the mean of its divisors is an integer number (2980460221200).

Almost surely, 2^{511045602320416} 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 511045602320416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572248362470400).

511045602320416 is an abundant number, since it is smaller than the sum of its proper divisors (633451122620384).

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

511045602320416 is a wasteful number, since it uses less digits than its factorization.

511045602320416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49108 (or 49100 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 511045602320416 in words is "five hundred eleven trillion, forty-five billion, six hundred two million, three hundred twenty thousand, four hundred sixteen".