78105683658492 has 144 divisors (see below), whose sum is σ = 232968236347392. Its totient is φ = 21591319461120.

The previous prime is 78105683658463. The next prime is 78105683658551. The reversal of 78105683658492 is 29485638650187.

78105683658492 is a `hidden beast` number, since 7 + 8 + 1 + 0 + 5 + 6 + 8 + 36 + 584 + 9 + 2 = 666.

It is a super-2 number, since 2×78105683658492² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78105683658492.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34711608 + ... + 36893184.

It is a 1-persistent number, because it is pandigital, but 2⋅78105683658492 = 156211367316984 is not.

Almost surely, 2^{78105683658492} 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 78105683658492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116484118173696).

78105683658492 is an abundant number, since it is smaller than the sum of its proper divisors (154862552688900).

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

78105683658492 is a wasteful number, since it uses less digits than its factorization.

78105683658492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186208 (or 2186203 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

Adding to 78105683658492 its sum of digits (72), we get a square (78105683658564 = 8837742²).

The spelling of 78105683658492 in words is "seventy-eight trillion, one hundred five billion, six hundred eighty-three million, six hundred fifty-eight thousand, four hundred ninety-two".