71416292148 has 36 divisors (see below), whose sum is σ = 181842226020. Its totient is φ = 23631666816.

The previous prime is 71416292147. The next prime is 71416292149. The reversal of 71416292148 is 84129261417.

71416292148 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 629 + 2 + 14 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (71416292147) and next prime (71416292149).

It can be written as a sum of positive squares in 2 ways, for example, as 55890633744 + 15525658404 = 236412^2 + 124602^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71416292141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7235163 + ... + 7245026.

It is an arithmetic number, because the mean of its divisors is an integer number (5051172945).

Almost surely, 2^71416292148 is an apocalyptic number.

It is an amenable number.

71416292148 is an abundant number, since it is smaller than the sum of its proper divisors (110425933872).

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

71416292148 is a wasteful number, since it uses less digits than its factorization.

71416292148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14480336 (or 14480331 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 71416292148 in words is "seventy-one billion, four hundred sixteen million, two hundred ninety-two thousand, one hundred forty-eight".