711305805312 has 420 divisors, whose sum is σ = 2249337863520. Its totient is φ = 224580335616.

The previous prime is 711305805311. The next prime is 711305805359. The reversal of 711305805312 is 213508503117.

It is a happy number.

711305805312 is a `hidden beast` number, since 7 + 1 + 13 + 0 + 580 + 53 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711305805311) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 134739889 + ... + 134745167.

Almost surely, 2^711305805312 is an apocalyptic number.

711305805312 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 711305805312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124668931760).

711305805312 is an abundant number, since it is smaller than the sum of its proper divisors (1538032058208).

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

711305805312 is an frugal number, since it uses more digits than its factorization.

711305805312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 711305805312 in words is "seven hundred eleven billion, three hundred five million, eight hundred five thousand, three hundred twelve".