10355224144 has 40 divisors (see below), whose sum is σ = 21250378728. Its totient is φ = 4871454720.

The previous prime is 10355224129. The next prime is 10355224147. The reversal of 10355224144 is 44142255301.

It can be written as a sum of positive squares in 4 ways, for example, as 2979849744 + 7375374400 = 54588^2 + 85880^2 .

It is a super-3 number, since 3×10355224144³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355224147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1476454 + ... + 1483450.

Almost surely, 2^10355224144 is an apocalyptic number.

It is an amenable number.

10355224144 is an abundant number, since it is smaller than the sum of its proper divisors (10895154584).

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

10355224144 is a wasteful number, since it uses less digits than its factorization.

10355224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12463 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 10355224144 its reverse (44142255301), we get a palindrome (54497479445).

The spelling of 10355224144 in words is "ten billion, three hundred fifty-five million, two hundred twenty-four thousand, one hundred forty-four".