11463552000 has 704 divisors, whose sum is σ = 44144455680. Its totient is φ = 2930688000.

The previous prime is 11463551977. The next prime is 11463552073. The reversal of 11463552000 is 25536411.

11463552000 is a `hidden beast` number, since 1 + 1 + 4 + 635 + 5 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107135947 + ... + 107136053.

Almost surely, 2^11463552000 is an apocalyptic number.

11463552000 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 11463552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22072227840).

11463552000 is an abundant number, since it is smaller than the sum of its proper divisors (32680903680).

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

11463552000 is a wasteful number, since it uses less digits than its factorization.

11463552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11463552000 in words is "eleven billion, four hundred sixty-three million, five hundred fifty-two thousand".