92378798509321 has 9 divisors (see below), whose sum is σ = 92584061734933. Its totient is φ = 92173989421120.

The previous prime is 92378798509307. The next prime is 92378798509381. The reversal of 92378798509321 is 12390589787329.

The square root of 92378798509321 is 9611389.

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 9358637337721 + 83020161171600 = 3059189^2 + 9111540^2 .

It is not a de Polignac number, because 92378798509321 - 2²⁷ = 92378664291593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92378798509381) 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 8 ways as a sum of consecutive naturals, for example, 4430839905 + ... + 4430860753.

Almost surely, 2^{92378798509321} is an apocalyptic number.

92378798509321 is the 9611389-th square number.

92378798509321 is the 4805695-th centered octagonal number.

It is an amenable number.

92378798509321 is a deficient number, since it is larger than the sum of its proper divisors (205263225612).

92378798509321 is an frugal number, since it uses more digits than its factorization.

92378798509321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42620 (or 21310 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 73.

The spelling of 92378798509321 in words is "ninety-two trillion, three hundred seventy-eight billion, seven hundred ninety-eight million, five hundred nine thousand, three hundred twenty-one".