71197008860224 has 175 divisors, whose sum is σ = 155016854555587. Its totient is φ = 32444206569216.

The previous prime is 71197008860183. The next prime is 71197008860231. The reversal of 71197008860224 is 42206880079117.

The square root of 71197008860224 is 8437832.

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

It can be written as a sum of positive squares in 2 ways, for example, as 35300614210624 + 35896394649600 = 5941432^2 + 5991360^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=2054.

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 71197008860224 = 12324³ + 41080³ = 31837³ + 33891³.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 901227960217 + ... + 901227960295.

Almost surely, 2^{71197008860224} is an apocalyptic number.

71197008860224 is the 8437832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71197008860224

71197008860224 is an abundant number, since it is smaller than the sum of its proper divisors (83819845695363).

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

71197008860224 is an frugal number, since it uses more digits than its factorization.

71197008860224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 71197008860224 in words is "seventy-one trillion, one hundred ninety-seven billion, eight million, eight hundred sixty thousand, two hundred twenty-four".