78171884448 has 768 divisors, whose sum is σ = 268631064576. Its totient is φ = 19399311360.

The previous prime is 78171884411. The next prime is 78171884459. The reversal of 78171884448 is 84448817187.

It is a happy number.

It is a super-2 number, since 2×78171884448² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 78171884391 and 78171884400.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1166744511 + ... + 1166744577.

It is an arithmetic number, because the mean of its divisors is an integer number (349780032).

Almost surely, 2^78171884448 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 78171884448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134315532288).

78171884448 is an abundant number, since it is smaller than the sum of its proper divisors (190459180128).

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

78171884448 is a wasteful number, since it uses less digits than its factorization.

78171884448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 60.

The spelling of 78171884448 in words is "seventy-eight billion, one hundred seventy-one million, eight hundred eighty-four thousand, four hundred forty-eight".