71049520248 has 768 divisors, whose sum is σ = 244017930240. Its totient is φ = 16787865600.

The previous prime is 71049520229. The next prime is 71049520261. The reversal of 71049520248 is 84202594017.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1732915108 + ... + 1732915148.

It is an arithmetic number, because the mean of its divisors is an integer number (317731680).

Almost surely, 2^71049520248 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 71049520248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122008965120).

71049520248 is an abundant number, since it is smaller than the sum of its proper divisors (172968409992).

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

71049520248 is a wasteful number, since it uses less digits than its factorization.

71049520248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 71049520248 in words is "seventy-one billion, forty-nine million, five hundred twenty thousand, two hundred forty-eight".