71102496384 has 256 divisors, whose sum is σ = 216371865600. Its totient is φ = 22974151680.

The previous prime is 71102496373. The next prime is 71102496403. The reversal of 71102496384 is 48369420117.

71102496384 is a `hidden beast` number, since 7 + 1 + 1 + 0 + 2 + 4 + 9 + 638 + 4 = 666.

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, 17378179 + ... + 17382269.

It is an arithmetic number, because the mean of its divisors is an integer number (845202600).

Almost surely, 2^71102496384 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 71102496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108185932800).

71102496384 is an abundant number, since it is smaller than the sum of its proper divisors (145269369216).

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

71102496384 is a wasteful number, since it uses less digits than its factorization.

71102496384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 71102496384 in words is "seventy-one billion, one hundred two million, four hundred ninety-six thousand, three hundred eighty-four".