71101052436736 has 243 divisors, whose sum is σ = 167387606421021. Its totient is φ = 30054589673472.

The previous prime is 71101052436719. The next prime is 71101052436767. The reversal of 71101052436736 is 63763425010117.

It is a happy number.

The square root of 71101052436736 is 8432144.

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

It can be written as a sum of positive squares in only one way, i.e., 29610139910400 + 41490912526336 = 5441520^2 + 6441344^2 .

It is a super-2 number, since 2×71101052436736² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74607609636 + ... + 74607610588.

Almost surely, 2^{71101052436736} is an apocalyptic number.

71101052436736 is the 8432144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71101052436736

71101052436736 is an abundant number, since it is smaller than the sum of its proper divisors (96286553984285).

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

71101052436736 is an frugal number, since it uses more digits than its factorization.

71101052436736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 71101052436736 in words is "seventy-one trillion, one hundred one billion, fifty-two million, four hundred thirty-six thousand, seven hundred thirty-six".