8946905435040 has 192 divisors, whose sum is σ = 29738520403200. Its totient is φ = 2256467288064.

The previous prime is 8946905435023. The next prime is 8946905435047. The reversal of 8946905435040 is 405345096498.

It is not an unprimeable number, because it can be changed into a prime (8946905435047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3570295 + ... + 5535414.

It is an arithmetic number, because the mean of its divisors is an integer number (154888127100).

Almost surely, 2^{8946905435040} is an apocalyptic number.

8946905435040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8946905435040 is an abundant number, since it is smaller than the sum of its proper divisors (20791614968160).

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

8946905435040 is a wasteful number, since it uses less digits than its factorization.

8946905435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9105839 (or 9105831 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 8946905435040 in words is "eight trillion, nine hundred forty-six billion, nine hundred five million, four hundred thirty-five thousand, forty".