71189446848 has 448 divisors, whose sum is σ = 227015040000. Its totient is φ = 19480559616.

The previous prime is 71189446799. The next prime is 71189446849. The reversal of 71189446848 is 84864498117.

Its product of digits (12386304) is a multiple of the sum of its prime factors (1512).

It is a junction number, because it is equal to n+sod(n) for n = 71189446791 and 71189446800.

It is not an unprimeable number, because it can be changed into a prime (71189446849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50885253 + ... + 50886651.

It is an arithmetic number, because the mean of its divisors is an integer number (506730000).

Almost surely, 2^71189446848 is an apocalyptic number.

71189446848 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71189446848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113507520000).

71189446848 is an abundant number, since it is smaller than the sum of its proper divisors (155825593152).

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

71189446848 is a wasteful number, since it uses less digits than its factorization.

71189446848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1502 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The spelling of 71189446848 in words is "seventy-one billion, one hundred eighty-nine million, four hundred forty-six thousand, eight hundred forty-eight".