11995514208 has 336 divisors, whose sum is σ = 37547435520. Its totient is φ = 3762899712.

The previous prime is 11995514203. The next prime is 11995514227. The reversal of 11995514208 is 80241559911.

11995514208 is a `hidden beast` number, since 1 + 1 + 99 + 551 + 4 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×11995514208² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11995514203) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42386835 + ... + 42387117.

It is an arithmetic number, because the mean of its divisors is an integer number (111748320).

Almost surely, 2^11995514208 is an apocalyptic number.

11995514208 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 11995514208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18773717760).

11995514208 is an abundant number, since it is smaller than the sum of its proper divisors (25551921312).

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

11995514208 is an equidigital number, since it uses as much as digits as its factorization.

11995514208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 11995514208 in words is "eleven billion, nine hundred ninety-five million, five hundred fourteen thousand, two hundred eight".