941648466816 has 192 divisors, whose sum is σ = 2787429153600. Its totient is φ = 304942202880.

The previous prime is 941648466793. The next prime is 941648466853. The reversal of 941648466816 is 618664846149.

941648466816 is a `hidden beast` number, since 9 + 4 + 16 + 484 + 66 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11246740 + ... + 11330156.

It is an arithmetic number, because the mean of its divisors is an integer number (14517860175).

Almost surely, 2^941648466816 is an apocalyptic number.

941648466816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 941648466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393714576800).

941648466816 is an abundant number, since it is smaller than the sum of its proper divisors (1845780686784).

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

941648466816 is a wasteful number, since it uses less digits than its factorization.

941648466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83717 (or 83702 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 941648466816 in words is "nine hundred forty-one billion, six hundred forty-eight million, four hundred sixty-six thousand, eight hundred sixteen".