11451863808 has 288 divisors, whose sum is σ = 42223480320. Its totient is φ = 2974371840.

The previous prime is 11451863807. The next prime is 11451863849. The reversal of 11451863808 is 80836815411.

11451863808 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 8 + 638 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11451863808² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11451863807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521466 + ... + 542982.

Almost surely, 2^11451863808 is an apocalyptic number.

11451863808 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 11451863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21111740160).

11451863808 is an abundant number, since it is smaller than the sum of its proper divisors (30771616512).

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

11451863808 is a wasteful number, since it uses less digits than its factorization.

11451863808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21560 (or 21540 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11451863808 in words is "eleven billion, four hundred fifty-one million, eight hundred sixty-three thousand, eight hundred eight".