711446464512 has 768 divisors, whose sum is σ = 2506910515200. Its totient is φ = 195084288000.

The previous prime is 711446464427. The next prime is 711446464537. The reversal of 711446464512 is 215464644117.

711446464512 is a `hidden beast` number, since 7 + 1 + 14 + 4 + 64 + 64 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2531837812 + ... + 2531838092.

It is an arithmetic number, because the mean of its divisors is an integer number (3264206400).

Almost surely, 2^711446464512 is an apocalyptic number.

711446464512 is a gapful number since it is divisible by the number (72) 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 711446464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253455257600).

711446464512 is an abundant number, since it is smaller than the sum of its proper divisors (1795464050688).

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

711446464512 is a wasteful number, since it uses less digits than its factorization.

711446464512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 535 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 711446464512 in words is "seven hundred eleven billion, four hundred forty-six million, four hundred sixty-four thousand, five hundred twelve".