1333133223408 has 240 divisors, whose sum is σ = 4413410589120. Its totient is φ = 367555055616.

The previous prime is 1333133223407. The next prime is 1333133223421. The reversal of 1333133223408 is 8043223313331.

1333133223408 is a `hidden beast` number, since 13 + 3 + 3 + 13 + 3 + 223 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333133223407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56493660 + ... + 56517252.

It is an arithmetic number, because the mean of its divisors is an integer number (18389210788).

Almost surely, 2^{1333133223408} is an apocalyptic number.

1333133223408 is a gapful number since it is divisible by the number (18) 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 1333133223408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206705294560).

1333133223408 is an abundant number, since it is smaller than the sum of its proper divisors (3080277365712).

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

1333133223408 is a wasteful number, since it uses less digits than its factorization.

1333133223408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25576 (or 25567 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 1333133223408 its reverse (8043223313331), we get a palindrome (9376356536739).

The spelling of 1333133223408 in words is "one trillion, three hundred thirty-three billion, one hundred thirty-three million, two hundred twenty-three thousand, four hundred eight".