8946180096 has 672 divisors, whose sum is σ = 32273199360. Its totient is φ = 2179989504.

The previous prime is 8946180037. The next prime is 8946180137. The reversal of 8946180096 is 6900816498.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388964341 + ... + 388964363.

Almost surely, 2^8946180096 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 8946180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136599680).

8946180096 is an abundant number, since it is smaller than the sum of its proper divisors (23327019264).

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

8946180096 is a wasteful number, since it uses less digits than its factorization.

8946180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 8946180096 is about 94584.2486675239. The cubic root of 8946180096 is about 2075.9292375300.

The spelling of 8946180096 in words is "eight billion, nine hundred forty-six million, one hundred eighty thousand, ninety-six".