11641014000 has 960 divisors, whose sum is σ = 52290081792. Its totient is φ = 2343168000.

The previous prime is 11641013987. The next prime is 11641014029. The reversal of 11641014000 is 41014611.

11641014000 is a `hidden beast` number, since 1 + 164 + 101 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51281887 + ... + 51282113.

Almost surely, 2^11641014000 is an apocalyptic number.

11641014000 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 11641014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26145040896).

11641014000 is an abundant number, since it is smaller than the sum of its proper divisors (40649067792).

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

11641014000 is a wasteful number, since it uses less digits than its factorization.

11641014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11641014000 its reverse (41014611), we get a palindrome (11682028611).

The spelling of 11641014000 in words is "eleven billion, six hundred forty-one million, fourteen thousand".