11954414208 has 128 divisors (see below), whose sum is σ = 34709653440. Its totient is φ = 3615334400.

The previous prime is 11954414207. The next prime is 11954414209. The reversal of 11954414208 is 80241445911.

It is an interprime number because it is at equal distance from previous prime (11954414207) and next prime (11954414209).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11954414203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2350228 + ... + 2355308.

Almost surely, 2^11954414208 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 11954414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17354826720).

11954414208 is an abundant number, since it is smaller than the sum of its proper divisors (22755239232).

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

11954414208 is a wasteful number, since it uses less digits than its factorization.

11954414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 11954414208 in words is "eleven billion, nine hundred fifty-four million, four hundred fourteen thousand, two hundred eight".