11484345600 has 972 divisors, whose sum is σ = 51601043676. Its totient is φ = 2415329280.

The previous prime is 11484345583. The next prime is 11484345629. The reversal of 11484345600 is 654348411.

11484345600 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 4 + 3 + 45 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4652331264 + 6832014336 = 68208^2 + 82656^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36691044 + ... + 36691356.

Almost surely, 2^11484345600 is an apocalyptic number.

11484345600 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 11484345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25800521838).

11484345600 is an abundant number, since it is smaller than the sum of its proper divisors (40116698076).

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

11484345600 is a wasteful number, since it uses less digits than its factorization.

11484345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11484345600 in words is "eleven billion, four hundred eighty-four million, three hundred forty-five thousand, six hundred".