11695978914228 has 576 divisors, whose sum is σ = 36078043921920. Its totient is φ = 3124832256000.

The previous prime is 11695978914223. The next prime is 11695978914233. The reversal of 11695978914228 is 82241987959611.

11695978914228 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 597 + 8 + 9 + 1 + 4 + 2 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (11695978914223) and next prime (11695978914233).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11695978914223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7058525976 + ... + 7058527632.

It is an arithmetic number, because the mean of its divisors is an integer number (62635492920).

Almost surely, 2^{11695978914228} is an apocalyptic number.

11695978914228 is a gapful number since it is divisible by the number (18) 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 11695978914228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039021960960).

11695978914228 is an abundant number, since it is smaller than the sum of its proper divisors (24382065007692).

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

11695978914228 is a wasteful number, since it uses less digits than its factorization.

11695978914228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2003 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 72.

The spelling of 11695978914228 in words is "eleven trillion, six hundred ninety-five billion, nine hundred seventy-eight million, nine hundred fourteen thousand, two hundred twenty-eight".