71290390248 has 768 divisors, whose sum is σ = 264525004800. Its totient is φ = 17262720000.

The previous prime is 71290390247. The next prime is 71290390253. The reversal of 71290390248 is 84209309217.

71290390248 is a `hidden beast` number, since 7 + 12 + 9 + 0 + 390 + 248 = 666.

It is not an unprimeable number, because it can be changed into a prime (71290390243) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 705845398 + ... + 705845498.

It is an arithmetic number, because the mean of its divisors is an integer number (344433600).

Almost surely, 2^71290390248 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 71290390248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132262502400).

71290390248 is an abundant number, since it is smaller than the sum of its proper divisors (193234614552).

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

71290390248 is a wasteful number, since it uses less digits than its factorization.

71290390248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 71290390248 in words is "seventy-one billion, two hundred ninety million, three hundred ninety thousand, two hundred forty-eight".