71854338304 has 72 divisors (see below), whose sum is σ = 165450091968. Its totient is φ = 30506833920.

The previous prime is 71854338271. The next prime is 71854338307. The reversal of 71854338304 is 40383345817.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71854338307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4374 + ... + 379114.

It is an arithmetic number, because the mean of its divisors is an integer number (2297917944).

Almost surely, 2^71854338304 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 71854338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82725045984).

71854338304 is an abundant number, since it is smaller than the sum of its proper divisors (93595753664).

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

71854338304 is a wasteful number, since it uses less digits than its factorization.

71854338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374871 (or 374857 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 71854338304 in words is "seventy-one billion, eight hundred fifty-four million, three hundred thirty-eight thousand, three hundred four".