11664312000 has 896 divisors, whose sum is σ = 46833666048. Its totient is φ = 2523136000.

The previous prime is 11664311993. The next prime is 11664312007. The reversal of 11664312000 is 21346611.

It is an interprime number because it is at equal distance from previous prime (11664311993) and next prime (11664312007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11664312007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103223944 + ... + 103224056.

Almost surely, 2^11664312000 is an apocalyptic number.

11664312000 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 11664312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23416833024).

11664312000 is an abundant number, since it is smaller than the sum of its proper divisors (35169354048).

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

11664312000 is a wasteful number, since it uses less digits than its factorization.

11664312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11664312000 its reverse (21346611), we get a palindrome (11685658611).

The spelling of 11664312000 in words is "eleven billion, six hundred sixty-four million, three hundred twelve thousand".