71648895384 has 320 divisors, whose sum is σ = 225816608160. Its totient is φ = 21033768960.

The previous prime is 71648895371. The next prime is 71648895407. The reversal of 71648895384 is 48359884617.

71648895384 is a `hidden beast` number, since 7 + 16 + 4 + 8 + 89 + 538 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83603884 + ... + 83604740.

Almost surely, 2^71648895384 is an apocalyptic number.

71648895384 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71648895384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112908304080).

71648895384 is an abundant number, since it is smaller than the sum of its proper divisors (154167712776).

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

71648895384 is a wasteful number, since it uses less digits than its factorization.

71648895384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1227 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 71648895384 in words is "seventy-one billion, six hundred forty-eight million, eight hundred ninety-five thousand, three hundred eighty-four".