78985167849 has 63 divisors (see below), whose sum is σ = 137850743757. Its totient is φ = 45104028984.

The previous prime is 78985167841. The next prime is 78985167851. The reversal of 78985167849 is 94876158987.

The square root of 78985167849 is 281043.

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

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 78985167849 - 2³ = 78985167841 is a prime.

It is a super-3 number, since 3×78985167849³ (a number of 34 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (78985167841) 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 62 ways as a sum of consecutive naturals, for example, 53116384 + ... + 53117870.

Almost surely, 2^78985167849 is an apocalyptic number.

78985167849 is the 281043-rd square number.

78985167849 is the 140522-nd centered octagonal number.

It is an amenable number.

78985167849 is a deficient number, since it is larger than the sum of its proper divisors (58865575908).

78985167849 is an frugal number, since it uses more digits than its factorization.

78985167849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 1497 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 72.

The spelling of 78985167849 in words is "seventy-eight billion, nine hundred eighty-five million, one hundred sixty-seven thousand, eight hundred forty-nine".