71445651984 has 120 divisors (see below), whose sum is σ = 228916122240. Its totient is φ = 20377004544.

The previous prime is 71445651947. The next prime is 71445651989. The reversal of 71445651984 is 48915654417.

71445651984 is a `hidden beast` number, since 7 + 1 + 4 + 45 + 6 + 519 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71445651984.

It is not an unprimeable number, because it can be changed into a prime (71445651989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511269 + ... + 635835.

It is an arithmetic number, because the mean of its divisors is an integer number (1907634352).

Almost surely, 2^71445651984 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 71445651984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114458061120).

71445651984 is an abundant number, since it is smaller than the sum of its proper divisors (157470470256).

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

71445651984 is a wasteful number, since it uses less digits than its factorization.

71445651984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125157 (or 125148 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 71445651984 in words is "seventy-one billion, four hundred forty-five million, six hundred fifty-one thousand, nine hundred eighty-four".