71189006148 has 72 divisors (see below), whose sum is σ = 194242478976. Its totient is φ = 21853425600.

The previous prime is 71189006137. The next prime is 71189006159. The reversal of 71189006148 is 84160098117.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71189006137) and next prime (71189006159).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 25243 + ... + 378173.

It is an arithmetic number, because the mean of its divisors is an integer number (2697812208).

Almost surely, 2^71189006148 is an apocalyptic number.

71189006148 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 71189006148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97121239488).

71189006148 is an abundant number, since it is smaller than the sum of its proper divisors (123053472828).

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

71189006148 is a wasteful number, since it uses less digits than its factorization.

71189006148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353385 (or 353380 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 71189006148 in words is "seventy-one billion, one hundred eighty-nine million, six thousand, one hundred forty-eight".