71201563461 has 16 divisors (see below), whose sum is σ = 120552912000. Its totient is φ = 40686607584.

The previous prime is 71201563441. The next prime is 71201563469. The reversal of 71201563461 is 16436510217.

71201563461 is a `hidden beast` number, since 7 + 1 + 2 + 0 + 15 + 634 + 6 + 1 = 666.

It is not a de Polignac number, because 71201563461 - 2¹⁴ = 71201547077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71201563469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188363736 + ... + 188364113.

It is an arithmetic number, because the mean of its divisors is an integer number (7534557000).

Almost surely, 2^71201563461 is an apocalyptic number.

It is an amenable number.

71201563461 is a deficient number, since it is larger than the sum of its proper divisors (49351348539).

71201563461 is a wasteful number, since it uses less digits than its factorization.

71201563461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376727865 (or 376727859 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 71201563461 in words is "seventy-one billion, two hundred one million, five hundred sixty-three thousand, four hundred sixty-one".