11466631000000 has 392 divisors, whose sum is σ = 31338158553936. Its totient is φ = 4128000000000.

The previous prime is 11466630999983. The next prime is 11466631000001. The reversal of 11466631000000 is 13666411.

It is a super-2 number, since 2×11466631000000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11466631000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1110994840 + ... + 1111005160.

Almost surely, 2^{11466631000000} is an apocalyptic number.

11466631000000 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 11466631000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15669079276968).

11466631000000 is an abundant number, since it is smaller than the sum of its proper divisors (19871527553936).

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

11466631000000 is an equidigital number, since it uses as much as digits as its factorization.

11466631000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10475 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 11466631000000 its reverse (13666411), we get a palindrome (11466644666411).

The spelling of 11466631000000 in words is "eleven trillion, four hundred sixty-six billion, six hundred thirty-one million", and thus it is an aban number.