92385867864901 has 24 divisors (see below), whose sum is σ = 102169885213440. Its totient is φ = 83462965649856.

The previous prime is 92385867864889. The next prime is 92385867864929. The reversal of 92385867864901 is 10946876858329.

It is a de Polignac number, because none of the positive numbers 2^k-92385867864901 is a prime.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92385867864931) 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 23 ways as a sum of consecutive naturals, for example, 465463840 + ... + 465662278.

It is an arithmetic number, because the mean of its divisors is an integer number (4257078550560).

It is a 1-persistent number, because it is pandigital, but 2⋅92385867864901 = 184771735729802 is not.

Almost surely, 2^{92385867864901} is an apocalyptic number.

It is an amenable number.

92385867864901 is a deficient number, since it is larger than the sum of its proper divisors (9784017348539).

92385867864901 is a wasteful number, since it uses less digits than its factorization.

92385867864901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257125 (or 257112 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 76.

The spelling of 92385867864901 in words is "ninety-two trillion, three hundred eighty-five billion, eight hundred sixty-seven million, eight hundred sixty-four thousand, nine hundred one".