10145205556164 has 192 divisors, whose sum is σ = 30370805445120. Its totient is φ = 2868672153600.

The previous prime is 10145205556153. The next prime is 10145205556183. The reversal of 10145205556164 is 46165550254101.

10145205556164 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 20 + 5 + 5 + 5 + 616 + 4 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 181470264 + ... + 181526160.

It is an arithmetic number, because the mean of its divisors is an integer number (158181278360).

Almost surely, 2^{10145205556164} is an apocalyptic number.

10145205556164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145205556164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185402722560).

10145205556164 is an abundant number, since it is smaller than the sum of its proper divisors (20225599888956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10145205556164 is a wasteful number, since it uses less digits than its factorization.

10145205556164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58395 (or 58387 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 10145205556164 in words is "ten trillion, one hundred forty-five billion, two hundred five million, five hundred fifty-six thousand, one hundred sixty-four".