78243288144 has 160 divisors (see below), whose sum is σ = 232395006720. Its totient is φ = 22221029376.

The previous prime is 78243288119. The next prime is 78243288169. The reversal of 78243288144 is 44188234287.

It is an interprime number because it is at equal distance from previous prime (78243288119) and next prime (78243288169).

It is a super-2 number, since 2×78243288144² (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 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 31 ways as a sum of consecutive naturals, for example, 71585262 + ... + 71586354.

It is an arithmetic number, because the mean of its divisors is an integer number (1452468792).

Almost surely, 2^78243288144 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 78243288144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116197503360).

78243288144 is an abundant number, since it is smaller than the sum of its proper divisors (154151718576).

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

78243288144 is a wasteful number, since it uses less digits than its factorization.

78243288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2191 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The spelling of 78243288144 in words is "seventy-eight billion, two hundred forty-three million, two hundred eighty-eight thousand, one hundred forty-four".