71433506016 has 120 divisors (see below), whose sum is σ = 210171598560. Its totient is φ = 23801236992.

The previous prime is 71433506003. The next prime is 71433506021. The reversal of 71433506016 is 61060533417.

71433506016 is a `hidden beast` number, since 7 + 1 + 43 + 3 + 5 + 0 + 601 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8826900 + ... + 8834988.

It is an arithmetic number, because the mean of its divisors is an integer number (1751429988).

Almost surely, 2^71433506016 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 71433506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105085799280).

71433506016 is an abundant number, since it is smaller than the sum of its proper divisors (138738092544).

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

71433506016 is a wasteful number, since it uses less digits than its factorization.

71433506016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 71433506016 in words is "seventy-one billion, four hundred thirty-three million, five hundred six thousand, sixteen".