11466631000 has 128 divisors (see below), whose sum is σ = 29563859520. Its totient is φ = 4128000000.

The previous prime is 11466630983. The next prime is 11466631009. The reversal of 11466631000 is 13666411.

It is a super-2 number, since 2×11466631000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11466631000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11466631009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105840 + ... + 1116160.

Almost surely, 2^11466631000 is an apocalyptic number.

11466631000 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 11466631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781929760).

11466631000 is an abundant number, since it is smaller than the sum of its proper divisors (18097228520).

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

11466631000 is a wasteful number, since it uses less digits than its factorization.

11466631000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454 (or 10440 counting only the distinct ones).

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

The spelling of 11466631000 in words is "eleven billion, four hundred sixty-six million, six hundred thirty-one thousand".