78409437345 has 40 divisors (see below), whose sum is σ = 140583264360. Its totient is φ = 41810307840.

The previous prime is 78409437311. The next prime is 78409437413. The reversal of 78409437345 is 54373490487.

It can be written as a sum of positive squares in 4 ways, for example, as 3754257984 + 74655179361 = 61272^2 + 273231^2 .

It is not a de Polignac number, because 78409437345 - 2⁷ = 78409437217 is a prime.

It is a super-3 number, since 3×78409437345³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 78409437291 and 78409437300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2507205 + ... + 2538285.

It is an arithmetic number, because the mean of its divisors is an integer number (3514581609).

Almost surely, 2^78409437345 is an apocalyptic number.

It is an amenable number.

78409437345 is a deficient number, since it is larger than the sum of its proper divisors (62173827015).

78409437345 is a wasteful number, since it uses less digits than its factorization.

78409437345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37327 (or 37318 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 78409437345 in words is "seventy-eight billion, four hundred nine million, four hundred thirty-seven thousand, three hundred forty-five".