78169449744 has 135 divisors (see below), whose sum is σ = 228916976197. Its totient is φ = 24898988928.

The previous prime is 78169449661. The next prime is 78169449749. The reversal of 78169449744 is 44794496187.

The square root of 78169449744 is 279588.

It is a perfect power (a square), and thus also a powerful number.

78169449744 is a `hidden beast` number, since 7 + 8 + 16 + 94 + 497 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154256400 + 78015193344 = 12420^2 + 279312^2 .

It is a super-2 number, since 2×78169449744² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78169449749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77165782 + ... + 77166794.

Almost surely, 2^78169449744 is an apocalyptic number.

78169449744 is the 279588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78169449744

78169449744 is an abundant number, since it is smaller than the sum of its proper divisors (150747526453).

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

78169449744 is a wasteful number, since it uses less digits than its factorization.

78169449744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 1041 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 78169449744 in words is "seventy-eight billion, one hundred sixty-nine million, four hundred forty-nine thousand, seven hundred forty-four".