78168243348 has 192 divisors, whose sum is σ = 232038535680. Its totient is φ = 22571467776.

The previous prime is 78168243331. The next prime is 78168243403. The reversal of 78168243348 is 84334286187.

78168243348 is a `hidden beast` number, since 7 + 8 + 168 + 2 + 433 + 48 = 666.

It is a super-2 number, since 2×78168243348² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78168243294 and 78168243303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1688640 + ... + 1734312.

It is an arithmetic number, because the mean of its divisors is an integer number (1208534040).

Almost surely, 2^78168243348 is an apocalyptic number.

78168243348 is a gapful number since it is divisible by the number (78) 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 78168243348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116019267840).

78168243348 is an abundant number, since it is smaller than the sum of its proper divisors (153870292332).

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

78168243348 is a wasteful number, since it uses less digits than its factorization.

78168243348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45775 (or 45767 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 78168243348 in words is "seventy-eight billion, one hundred sixty-eight million, two hundred forty-three thousand, three hundred forty-eight".