76144539249 has 27 divisors (see below), whose sum is σ = 111954143353. Its totient is φ = 49870626504.

The previous prime is 76144539241. The next prime is 76144539257. The reversal of 76144539249 is 94293544167.

The square root of 76144539249 is 275943.

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

76144539249 is a `hidden beast` number, since 7 + 61 + 4 + 4 + 539 + 2 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (76144539241) and next prime (76144539257).

It is not a de Polignac number, because 76144539249 - 2³ = 76144539241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76144539195 and 76144539204.

It is not an unprimeable number, because it can be changed into a prime (76144539241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48841132 + ... + 48842690.

Almost surely, 2^76144539249 is an apocalyptic number.

76144539249 is the 275943-rd square number.

76144539249 is the 137972-nd centered octagonal number.

It is an amenable number.

76144539249 is a deficient number, since it is larger than the sum of its proper divisors (35809604104).

76144539249 is an frugal number, since it uses more digits than its factorization.

76144539249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 1621 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 76144539249 in words is "seventy-six billion, one hundred forty-four million, five hundred thirty-nine thousand, two hundred forty-nine".