78286136544 has 972 divisors, whose sum is σ = 302792660352. Its totient is φ = 19112163840.

The previous prime is 78286136543. The next prime is 78286136611. The reversal of 78286136544 is 44563168287.

It is a happy number.

78286136544 is a `hidden beast` number, since 7 + 8 + 2 + 8 + 61 + 36 + 544 = 666.

It is a super-2 number, since 2×78286136544² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78286136543) by changing a digit.

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 161 ways as a sum of consecutive naturals, for example, 616426209 + ... + 616426335.

Almost surely, 2^78286136544 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 78286136544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151396330176).

78286136544 is an abundant number, since it is smaller than the sum of its proper divisors (224506523808).

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

78286136544 is a wasteful number, since it uses less digits than its factorization.

78286136544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 169 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 78286136544 in words is "seventy-eight billion, two hundred eighty-six million, one hundred thirty-six thousand, five hundred forty-four".