10145541564424 has 16 divisors (see below), whose sum is σ = 21740446209600. Its totient is φ = 4348089241872.

The previous prime is 10145541564413. The next prime is 10145541564491. The reversal of 10145541564424 is 42446514554101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90585192484 + ... + 90585192595.

It is an arithmetic number, because the mean of its divisors is an integer number (1358777888100).

Almost surely, 2^{10145541564424} is an apocalyptic number.

10145541564424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10145541564424 is an abundant number, since it is smaller than the sum of its proper divisors (11594904645176).

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

10145541564424 is a wasteful number, since it uses less digits than its factorization.

10145541564424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181170385092 (or 181170385088 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 46.

The spelling of 10145541564424 in words is "ten trillion, one hundred forty-five billion, five hundred forty-one million, five hundred sixty-four thousand, four hundred twenty-four".