1024166264121 has 243 divisors, whose sum is σ = 2054335412493. Its totient is φ = 489651402240.

The previous prime is 1024166264111. The next prime is 1024166264129. The reversal of 1024166264121 is 1214626614201.

The square root of 1024166264121 is 1012011.

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

1024166264121 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 6 + 6 + 2 + 641 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 355467556521 + 668698707600 = 596211^2 + 817740^2 .

It is not a de Polignac number, because 1024166264121 - 2¹⁵ = 1024166231353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1024166264129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3039068865 + ... + 3039069201.

Almost surely, 2^{1024166264121} is an apocalyptic number.

1024166264121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1024166264121 is the 1012011-st square number.

1024166264121 is the 506006-th centered octagonal number.

It is an amenable number.

1024166264121 is an abundant number, since it is smaller than the sum of its proper divisors (1030169148372).

1024166264121 is a wasteful number, since it uses less digits than its factorization.

1024166264121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 1024166264121 by its sum of digits (36), we get a square (36869985508356 = 6072066²).

The spelling of 1024166264121 in words is "one trillion, twenty-four billion, one hundred sixty-six million, two hundred sixty-four thousand, one hundred twenty-one".