9629825414416 has 45 divisors (see below), whose sum is σ = 18718565049093. Its totient is φ = 4799278805760.

The previous prime is 9629825414411. The next prime is 9629825414441. The reversal of 9629825414416 is 6144145289269.

The square root of 9629825414416 is 3103196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6036829344016 + 3592996070400 = 2456996^2 + 1895520^2 .

It is a super-2 number, since 2×9629825414416² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9629825414411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4456188376 + ... + 4456190536.

Almost surely, 2^{9629825414416} is an apocalyptic number.

9629825414416 is the 3103196-th square number.

It is an amenable number.

9629825414416 is a deficient number, since it is larger than the sum of its proper divisors (9088739634677).

9629825414416 is an frugal number, since it uses more digits than its factorization.

9629825414416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 2522 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 61.

The spelling of 9629825414416 in words is "nine trillion, six hundred twenty-nine billion, eight hundred twenty-five million, four hundred fourteen thousand, four hundred sixteen".