11446465353000 has 256 divisors, whose sum is σ = 36308110775040. Its totient is φ = 3001550976000.

The previous prime is 11446465352969. The next prime is 11446465353091. The reversal of 11446465353000 is 35356464411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1041813507 + ... + 1041824493.

It is an arithmetic number, because the mean of its divisors is an integer number (141828557715).

Almost surely, 2^{11446465353000} is an apocalyptic number.

11446465353000 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 11446465353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154055387520).

11446465353000 is an abundant number, since it is smaller than the sum of its proper divisors (24861645422040).

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

11446465353000 is a wasteful number, since it uses less digits than its factorization.

11446465353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16765 (or 16751 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 11446465353000 in words is "eleven trillion, four hundred forty-six billion, four hundred sixty-five million, three hundred fifty-three thousand".