10145616144424 has 48 divisors (see below), whose sum is σ = 20434910658300. Its totient is φ = 4720762472448.

The previous prime is 10145616144359. The next prime is 10145616144427. The reversal of 10145616144424 is 42444161654101.

It can be written as a sum of positive squares in 6 ways, for example, as 2955270428100 + 7190345716324 = 1719090^2 + 2681482^2 .

It is a super-2 number, since 2×10145616144424² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10145616144427) 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 11 ways as a sum of consecutive naturals, for example, 24447279 + ... + 24858814.

Almost surely, 2^{10145616144424} is an apocalyptic number.

It is an amenable number.

10145616144424 is an abundant number, since it is smaller than the sum of its proper divisors (10289294513876).

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

10145616144424 is a wasteful number, since it uses less digits than its factorization.

10145616144424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49306222 (or 49306201 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

Adding to 10145616144424 its reverse (42444161654101), we get a palindrome (52589777798525).

The spelling of 10145616144424 in words is "ten trillion, one hundred forty-five billion, six hundred sixteen million, one hundred forty-four thousand, four hundred twenty-four".