76242462646249 has 27 divisors (see below), whose sum is σ = 81314877896463. Its totient is φ = 71471910907392.

The previous prime is 76242462646243. The next prime is 76242462646327. The reversal of 76242462646249 is 94264626424267.

The square root of 76242462646249 is 8731693.

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

It can be written as a sum of positive squares in 13 ways, for example, as 21176149080025 + 55066313566224 = 4601755^2 + 7420668^2 .

It is a de Polignac number, because none of the positive numbers 2^k-76242462646249 is a prime.

It is a super-2 number, since 2×76242462646249² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76242462646243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43492561957 + ... + 43492563709.

Almost surely, 2^{76242462646249} is an apocalyptic number.

76242462646249 is the 8731693-rd square number.

76242462646249 is the 4365847-th centered octagonal number.

It is an amenable number.

76242462646249 is a deficient number, since it is larger than the sum of its proper divisors (5072415250214).

76242462646249 is an frugal number, since it uses more digits than its factorization.

76242462646249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 2063 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 64.

The spelling of 76242462646249 in words is "seventy-six trillion, two hundred forty-two billion, four hundred sixty-two million, six hundred forty-six thousand, two hundred forty-nine".