78178513248 has 144 divisors (see below), whose sum is σ = 255296059200. Its totient is φ = 22443575040.

The previous prime is 78178513219. The next prime is 78178513289. The reversal of 78178513248 is 84231587187.

78178513248 is a `hidden beast` number, since 7 + 81 + 7 + 8 + 513 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78178513248² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78178513194 and 78178513203.

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 23 ways as a sum of consecutive naturals, for example, 589218 + ... + 709601.

It is an arithmetic number, because the mean of its divisors is an integer number (1772889300).

Almost surely, 2^78178513248 is an apocalyptic number.

It is an amenable number.

78178513248 is an abundant number, since it is smaller than the sum of its proper divisors (177117545952).

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

78178513248 is a wasteful number, since it uses less digits than its factorization.

78178513248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298865 (or 1298854 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 78178513248 in words is "seventy-eight billion, one hundred seventy-eight million, five hundred thirteen thousand, two hundred forty-eight".