11446143460650 has 144 divisors (see below), whose sum is σ = 30832514182080. Its totient is φ = 3044319033600.

The previous prime is 11446143460637. The next prime is 11446143460657. The reversal of 11446143460650 is 5606434164411.

11446143460650 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 1 + 4 + 34 + 606 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 11446143460596 and 11446143460605.

It is not an unprimeable number, because it can be changed into a prime (11446143460657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348536931 + ... + 348569769.

It is an arithmetic number, because the mean of its divisors is an integer number (214114681820).

Almost surely, 2^{11446143460650} is an apocalyptic number.

11446143460650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11446143460650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416257091040).

11446143460650 is an abundant number, since it is smaller than the sum of its proper divisors (19386370721430).

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

11446143460650 is a wasteful number, since it uses less digits than its factorization.

11446143460650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34861 (or 34853 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 11446143460650 in words is "eleven trillion, four hundred forty-six billion, one hundred forty-three million, four hundred sixty thousand, six hundred fifty".