71016431616 has 480 divisors, whose sum is σ = 231864534720. Its totient is φ = 21346910208.

The previous prime is 71016431611. The next prime is 71016431621. The reversal of 71016431616 is 61613461017.

71016431616 is a `hidden beast` number, since 7 + 1 + 0 + 1 + 6 + 4 + 31 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (71016431611) and next prime (71016431621).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71016431611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304791436 + ... + 304791668.

It is an arithmetic number, because the mean of its divisors is an integer number (483051114).

Almost surely, 2^71016431616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71016431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115932267360).

71016431616 is an abundant number, since it is smaller than the sum of its proper divisors (160848103104).

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

71016431616 is a wasteful number, since it uses less digits than its factorization.

71016431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 71016431616 in words is "seventy-one billion, sixteen million, four hundred thirty-one thousand, six hundred sixteen".