71065947456 has 560 divisors, whose sum is σ = 257870553600. Its totient is φ = 18899039232.

The previous prime is 71065947439. The next prime is 71065947457. The reversal of 71065947456 is 65474956017.

71065947456 is a `hidden beast` number, since 7 + 1 + 0 + 6 + 594 + 7 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71065947457) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40677975 + ... + 40679721.

Almost surely, 2^71065947456 is an apocalyptic number.

71065947456 is a gapful number since it is divisible by the number (76) 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 71065947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128935276800).

71065947456 is an abundant number, since it is smaller than the sum of its proper divisors (186804606144).

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

71065947456 is a wasteful number, since it uses less digits than its factorization.

71065947456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 71065947456 in words is "seventy-one billion, sixty-five million, nine hundred forty-seven thousand, four hundred fifty-six".