941617464768 has 672 divisors, whose sum is σ = 2952438128640. Its totient is φ = 286309416960.

The previous prime is 941617464757. The next prime is 941617464817. The reversal of 941617464768 is 867464716149.

941617464768 is a `hidden beast` number, since 9 + 4 + 1 + 617 + 4 + 6 + 4 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×941617464768² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3500436538 + ... + 3500436806.

It is an arithmetic number, because the mean of its divisors is an integer number (4393509120).

Almost surely, 2^941617464768 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 941617464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476219064320).

941617464768 is an abundant number, since it is smaller than the sum of its proper divisors (2010820663872).

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

941617464768 is a wasteful number, since it uses less digits than its factorization.

941617464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 941617464768 in words is "nine hundred forty-one billion, six hundred seventeen million, four hundred sixty-four thousand, seven hundred sixty-eight".