10125433416384 has 504 divisors, whose sum is σ = 34918324052976. Its totient is φ = 2785842892800.

The previous prime is 10125433416379. The next prime is 10125433416463. The reversal of 10125433416384 is 48361433452101.

10125433416384 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 4 + 3 + 3 + 4 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×10125433416384³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 55177327 + ... + 55360529.

It is an arithmetic number, because the mean of its divisors is an integer number (69282388994).

Almost surely, 2^{10125433416384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10125433416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459162026488).

10125433416384 is an abundant number, since it is smaller than the sum of its proper divisors (24792890636592).

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

10125433416384 is a wasteful number, since it uses less digits than its factorization.

10125433416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183317 (or 183293 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 10125433416384 its reverse (48361433452101), we get a palindrome (58486866868485).

The spelling of 10125433416384 in words is "ten trillion, one hundred twenty-five billion, four hundred thirty-three million, four hundred sixteen thousand, three hundred eighty-four".