1333466838144 has 256 divisors, whose sum is σ = 4537617696000. Its totient is φ = 377618153472.

The previous prime is 1333466838113. The next prime is 1333466838149. The reversal of 1333466838144 is 4418386643331.

1333466838144 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 466 + 8 + 38 + 144 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1333466838149) 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 31 ways as a sum of consecutive naturals, for example, 2489802 + ... + 2977590.

It is an arithmetic number, because the mean of its divisors is an integer number (17725069125).

Almost surely, 2^{1333466838144} is an apocalyptic number.

1333466838144 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 1333466838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268808848000).

1333466838144 is an abundant number, since it is smaller than the sum of its proper divisors (3204150857856).

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

1333466838144 is a wasteful number, since it uses less digits than its factorization.

1333466838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487932 (or 487914 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 1333466838144 in words is "one trillion, three hundred thirty-three billion, four hundred sixty-six million, eight hundred thirty-eight thousand, one hundred forty-four".