133345483794432 has 2160 divisors, whose sum is σ = 504942591273120. Its totient is φ = 35043770990592.

The previous prime is 133345483794409. The next prime is 133345483794469. The reversal of 133345483794432 is 234497384543331.

133345483794432 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 4 + 54 + 83 + 79 + 4 + 432 = 666.

It is a super-2 number, since 2×133345483794432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (313528320) is a multiple of the sum of its prime factors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 133345483794432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 471185454963 + ... + 471185455245.

It is an arithmetic number, because the mean of its divisors is an integer number (233769718182).

Almost surely, 2^{133345483794432} is an apocalyptic number.

133345483794432 is a gapful number since it is divisible by the number (12) 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 133345483794432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252471295636560).

133345483794432 is an abundant number, since it is smaller than the sum of its proper divisors (371597107478688).

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

133345483794432 is an frugal number, since it uses more digits than its factorization.

133345483794432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 308 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 63.

The spelling of 133345483794432 in words is "one hundred thirty-three trillion, three hundred forty-five billion, four hundred eighty-three million, seven hundred ninety-four thousand, four hundred thirty-two".