71142207253056 has 441 divisors, whose sum is σ = 224943454399339. Its totient is φ = 22309407203328.

The previous prime is 71142207253037. The next prime is 71142207253109. The reversal of 71142207253056 is 65035270224117.

The square root of 71142207253056 is 8434584.

It is a perfect power (a square), and thus also a powerful number.

71142207253056 is a `hidden beast` number, since 7 + 1 + 1 + 42 + 2 + 0 + 72 + 530 + 5 + 6 = 666.

71142207253056 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4900839598656 + 66241367654400 = 2213784^2 + 8138880^2 .

It is a super-2 number, since 2×71142207253056² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30971791300 + ... + 30971793596.

Almost surely, 2^{71142207253056} is an apocalyptic number.

71142207253056 is the 8434584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71142207253056

71142207253056 is an abundant number, since it is smaller than the sum of its proper divisors (153801247146283).

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

71142207253056 is an frugal number, since it uses more digits than its factorization.

71142207253056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 71142207253056 in words is "seventy-one trillion, one hundred forty-two billion, two hundred seven million, two hundred fifty-three thousand, fifty-six".