11552451722208 has 240 divisors, whose sum is σ = 34309202247936. Its totient is φ = 3813116186880.

The previous prime is 11552451722179. The next prime is 11552451722213. The reversal of 11552451722208 is 80222715425511.

11552451722208 is a `hidden beast` number, since 1 + 1 + 5 + 524 + 51 + 72 + 2 + 2 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157175835 + ... + 157249317.

Almost surely, 2^{11552451722208} is an apocalyptic number.

11552451722208 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 11552451722208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154601123968).

11552451722208 is an abundant number, since it is smaller than the sum of its proper divisors (22756750525728).

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

11552451722208 is a wasteful number, since it uses less digits than its factorization.

11552451722208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74099 (or 74082 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 11552451722208 in words is "eleven trillion, five hundred fifty-two billion, four hundred fifty-one million, seven hundred twenty-two thousand, two hundred eight".