11446459121664 has 840 divisors, whose sum is σ = 39745311970560. Its totient is φ = 3227155955712.

The previous prime is 11446459121663. The next prime is 11446459121687. The reversal of 11446459121664 is 46612195464411.

11446459121664 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 459 + 121 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11446459121664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11446459121663) 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, 6604995742 + ... + 6604997474.

It is an arithmetic number, because the mean of its divisors is an integer number (47315847584).

Almost surely, 2^{11446459121664} is an apocalyptic number.

11446459121664 is a gapful number since it is divisible by the number (14) 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 11446459121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872655985280).

11446459121664 is an abundant number, since it is smaller than the sum of its proper divisors (28298852848896).

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

11446459121664 is an frugal number, since it uses more digits than its factorization.

11446459121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1824 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 11446459121664 in words is "eleven trillion, four hundred forty-six billion, four hundred fifty-nine million, one hundred twenty-one thousand, six hundred sixty-four".