10066162052331 has 96 divisors (see below), whose sum is σ = 18940609416960. Its totient is φ = 5224760755200.

The previous prime is 10066162052281. The next prime is 10066162052351. The reversal of 10066162052331 is 13325026166001.

10066162052331 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 1 + 620 + 5 + 23 + 3 + 1 = 666.

It is not a de Polignac number, because 10066162052331 - 2⁶ = 10066162052267 is a prime.

It is a super-2 number, since 2×10066162052331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10066162052351) 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 95 ways as a sum of consecutive naturals, for example, 16983051 + ... + 17565771.

It is an arithmetic number, because the mean of its divisors is an integer number (197298014760).

Almost surely, 2^{10066162052331} is an apocalyptic number.

10066162052331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10066162052331 is a deficient number, since it is larger than the sum of its proper divisors (8874447364629).

10066162052331 is a wasteful number, since it uses less digits than its factorization.

10066162052331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583942 (or 583929 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10066162052331 in words is "ten trillion, sixty-six billion, one hundred sixty-two million, fifty-two thousand, three hundred thirty-one".