10344141415125 has 192 divisors, whose sum is σ = 21641665264128. Its totient is φ = 4655439360000.

The previous prime is 10344141415121. The next prime is 10344141415189. The reversal of 10344141415125 is 52151414144301.

10344141415125 is a `hidden beast` number, since 1 + 0 + 3 + 441 + 4 + 141 + 51 + 25 = 666.

It is not a de Polignac number, because 10344141415125 - 2² = 10344141415121 is a prime.

It is a super-2 number, since 2×10344141415125² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10344141415125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344141415121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1097982915 + ... + 1097992335.

It is an arithmetic number, because the mean of its divisors is an integer number (112717006584).

Almost surely, 2^{10344141415125} is an apocalyptic number.

10344141415125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10344141415125 is an abundant number, since it is smaller than the sum of its proper divisors (11297523849003).

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

10344141415125 is a wasteful number, since it uses less digits than its factorization.

10344141415125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11597 (or 11584 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 10344141415125 its reverse (52151414144301), we get a palindrome (62495555559426).

The spelling of 10344141415125 in words is "ten trillion, three hundred forty-four billion, one hundred forty-one million, four hundred fifteen thousand, one hundred twenty-five".