71464359939200 has 72 divisors (see below), whose sum is σ = 176540483001315. Its totient is φ = 28585552691200.

The previous prime is 71464359939187. The next prime is 71464359939223. The reversal of 71464359939200 is 293995346417.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 54352635635776 + 17111724303424 = 7372424^2 + 4136632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5977640.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 478136480 + ... + 478285920.

Almost surely, 2^{71464359939200} is an apocalyptic number.

It is an amenable number.

71464359939200 is an abundant number, since it is smaller than the sum of its proper divisors (105076123062115).

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

71464359939200 is an frugal number, since it uses more digits than its factorization.

71464359939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298906 (or 149448 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 62.

The spelling of 71464359939200 in words is "seventy-one trillion, four hundred sixty-four billion, three hundred fifty-nine million, nine hundred thirty-nine thousand, two hundred".