92823493905025 has 81 divisors (see below), whose sum is σ = 132414128756091. Its totient is φ = 64507029050880.

The previous prime is 92823493905017. The next prime is 92823493905047. The reversal of 92823493905025 is 52050939432829.

The square root of 92823493905025 is 9634495.

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 67601563548289 + 25221930356736 = 8222017^2 + 5022144^2 .

It is not a de Polignac number, because 92823493905025 - 2³ = 92823493905017 is a prime.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 10646112616 + ... + 10646121334.

Almost surely, 2^{92823493905025} is an apocalyptic number.

92823493905025 is the 9634495-th square number.

92823493905025 is the 4817248-th centered octagonal number.

It is an amenable number.

92823493905025 is a deficient number, since it is larger than the sum of its proper divisors (39590634851066).

92823493905025 is an frugal number, since it uses more digits than its factorization.

92823493905025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17508 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 61.

The spelling of 92823493905025 in words is "ninety-two trillion, eight hundred twenty-three billion, four hundred ninety-three million, nine hundred five thousand, twenty-five".