71160761448 has 384 divisors, whose sum is σ = 240532830720. Its totient is φ = 18541854720.

The previous prime is 71160761443. The next prime is 71160761453. The reversal of 71160761448 is 84416706117.

It is an interprime number because it is at equal distance from previous prime (71160761443) and next prime (71160761453).

It is not an unprimeable number, because it can be changed into a prime (71160761443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58664490 + ... + 58665702.

It is an arithmetic number, because the mean of its divisors is an integer number (626387580).

Almost surely, 2^71160761448 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 71160761448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120266415360).

71160761448 is an abundant number, since it is smaller than the sum of its proper divisors (169372069272).

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

71160761448 is a wasteful number, since it uses less digits than its factorization.

71160761448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 71160761448 in words is "seventy-one billion, one hundred sixty million, seven hundred sixty-one thousand, four hundred forty-eight".