78242344746348 has 192 divisors, whose sum is σ = 191408187801600. Its totient is φ = 24856874507520.

The previous prime is 78242344746337. The next prime is 78242344746353. The reversal of 78242344746348 is 84364744324287.

It is a happy number.

78242344746348 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×78242344746348⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 1808171953 + ... + 1808215223.

It is an arithmetic number, because the mean of its divisors is an integer number (996917644800).

Almost surely, 2^{78242344746348} is an apocalyptic number.

It is an amenable number.

78242344746348 is an abundant number, since it is smaller than the sum of its proper divisors (113165843055252).

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

78242344746348 is a wasteful number, since it uses less digits than its factorization.

78242344746348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43940 (or 43938 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 66.

The spelling of 78242344746348 in words is "seventy-eight trillion, two hundred forty-two billion, three hundred forty-four million, seven hundred forty-six thousand, three hundred forty-eight".