11314486800 has 180 divisors, whose sum is σ = 40178087664. Its totient is φ = 2946988800.

The previous prime is 11314486787. The next prime is 11314486903. The reversal of 11314486800 is 868441311.

It is a happy number.

11314486800 is a `hidden beast` number, since 1 + 131 + 448 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×11314486800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118255 + ... + 191345.

Almost surely, 2^11314486800 is an apocalyptic number.

11314486800 is a gapful number since it is divisible by the number (10) 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 11314486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20089043832).

11314486800 is an abundant number, since it is smaller than the sum of its proper divisors (28863600864).

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

11314486800 is a wasteful number, since it uses less digits than its factorization.

11314486800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73158 (or 73144 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11314486800 in words is "eleven billion, three hundred fourteen million, four hundred eighty-six thousand, eight hundred".