10234144054624 has 48 divisors (see below), whose sum is σ = 23027092252416. Its totient is φ = 4386010665600.

The previous prime is 10234144054579. The next prime is 10234144054627. The reversal of 10234144054624 is 42645044143201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234144054627) 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, 23906139 + ... + 24330469.

It is an arithmetic number, because the mean of its divisors is an integer number (479731088592).

Almost surely, 2^{10234144054624} is an apocalyptic number.

10234144054624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10234144054624 is an abundant number, since it is smaller than the sum of its proper divisors (12792948197792).

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

10234144054624 is a wasteful number, since it uses less digits than its factorization.

10234144054624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532019 (or 532011 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 10234144054624 its reverse (42645044143201), we get a palindrome (52879188197825).

The spelling of 10234144054624 in words is "ten trillion, two hundred thirty-four billion, one hundred forty-four million, fifty-four thousand, six hundred twenty-four".