11451181896 has 640 divisors, whose sum is σ = 43155763200. Its totient is φ = 2747105280.

The previous prime is 11451181883. The next prime is 11451181913. The reversal of 11451181896 is 69818115411.

It is a happy number.

11451181896 is a `hidden beast` number, since 1 + 1 + 451 + 18 + 189 + 6 = 666.

It is a super-2 number, since 2×11451181896² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44557000 + ... + 44557256.

It is an arithmetic number, because the mean of its divisors is an integer number (67430880).

Almost surely, 2^11451181896 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 11451181896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577881600).

11451181896 is an abundant number, since it is smaller than the sum of its proper divisors (31704581304).

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

11451181896 is a wasteful number, since it uses less digits than its factorization.

11451181896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its digits is 69120, while the sum is 45.

The spelling of 11451181896 in words is "eleven billion, four hundred fifty-one million, one hundred eighty-one thousand, eight hundred ninety-six".