71133802959648 has 192 divisors, whose sum is σ = 221183665041024. Its totient is φ = 19897566796800.

The previous prime is 71133802959599. The next prime is 71133802959689. The reversal of 71133802959648 is 84695920833117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19750723 + ... + 23072898.

It is an arithmetic number, because the mean of its divisors is an integer number (1151998255422).

It is a 1-persistent number, because it is pandigital, but 2⋅71133802959648 = 142267605919296 is not.

Almost surely, 2^{71133802959648} is an apocalyptic number.

71133802959648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

71133802959648 is an abundant number, since it is smaller than the sum of its proper divisors (150049862081376).

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

71133802959648 is a wasteful number, since it uses less digits than its factorization.

71133802959648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42823680 (or 42823650 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 71133802959648 in words is "seventy-one trillion, one hundred thirty-three billion, eight hundred two million, nine hundred fifty-nine thousand, six hundred forty-eight".