941216679936 has 288 divisors, whose sum is σ = 3028485915000. Its totient is φ = 279616684032.

The previous prime is 941216679913. The next prime is 941216679937. The reversal of 941216679936 is 639976612149.

941216679936 is a `hidden beast` number, since 9 + 412 + 1 + 66 + 79 + 93 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 905268519936 + 35948160000 = 951456^2 + 189600^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (941216679937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6881140 + ... + 7016588.

Almost surely, 2^941216679936 is an apocalyptic number.

941216679936 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 941216679936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514242957500).

941216679936 is an abundant number, since it is smaller than the sum of its proper divisors (2087269235064).

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

941216679936 is a wasteful number, since it uses less digits than its factorization.

941216679936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135519 (or 135496 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 941216679936 in words is "nine hundred forty-one billion, two hundred sixteen million, six hundred seventy-nine thousand, nine hundred thirty-six".