9102346416 has 270 divisors, whose sum is σ = 28189880628. Its totient is φ = 2741143680.

The previous prime is 9102346403. The next prime is 9102346417. The reversal of 9102346416 is 6146432019.

9102346416 is a `hidden beast` number, since 9 + 1 + 0 + 2 + 3 + 4 + 641 + 6 = 666.

It is a super-3 number, since 3×9102346416³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9102346417) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27499371 + ... + 27499701.

Almost surely, 2^9102346416 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 9102346416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094940314).

9102346416 is an abundant number, since it is smaller than the sum of its proper divisors (19087534212).

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

9102346416 is a wasteful number, since it uses less digits than its factorization.

9102346416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9102346416 is about 95406.2179105744. The cubic root of 9102346416 is about 2087.9389047170.

The spelling of 9102346416 in words is "nine billion, one hundred two million, three hundred forty-six thousand, four hundred sixteen".