9129661416 has 64 divisors (see below), whose sum is σ = 25790040000. Its totient is φ = 2991636288.

The previous prime is 9129661391. The next prime is 9129661421. The reversal of 9129661416 is 6141669219.

It is a happy number.

9129661416 is a `hidden beast` number, since 9 + 1 + 29 + 6 + 614 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345451 + ... + 370938.

It is an arithmetic number, because the mean of its divisors is an integer number (402969375).

Almost surely, 2^9129661416 is an apocalyptic number.

It is an amenable number.

9129661416 is an abundant number, since it is smaller than the sum of its proper divisors (16660378584).

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

9129661416 is a wasteful number, since it uses less digits than its factorization.

9129661416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716463 (or 716453 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 9129661416 is about 95549.2617239924. The cubic root of 9129661416 is about 2090.0253666327.

The spelling of 9129661416 in words is "nine billion, one hundred twenty-nine million, six hundred sixty-one thousand, four hundred sixteen".