99751294828249 has 9 divisors (see below), whose sum is σ = 100272756549693. Its totient is φ = 99232531130112.

The previous prime is 99751294828231. The next prime is 99751294828253. The reversal of 99751294828249 is 94282849215799.

The square root of 99751294828249 is 9987557.

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

It can be written as a sum of positive squares in 4 ways, for example, as 419534721225 + 99331760107024 = 647715^2 + 9966532^2 .

It is not a de Polignac number, because 99751294828249 - 2¹⁹ = 99751294303961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99751294825249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1927572627 + ... + 1927624375.

Almost surely, 2^{99751294828249} is an apocalyptic number.

99751294828249 is the 9987557-th square number.

99751294828249 is the 4993779-th centered octagonal number.

It is an amenable number.

99751294828249 is a deficient number, since it is larger than the sum of its proper divisors (521461721444).

99751294828249 is an frugal number, since it uses more digits than its factorization.

99751294828249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103884 (or 51942 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 79.

The spelling of 99751294828249 in words is "ninety-nine trillion, seven hundred fifty-one billion, two hundred ninety-four million, eight hundred twenty-eight thousand, two hundred forty-nine".