133406425483968 has 448 divisors, whose sum is σ = 449167727812608. Its totient is φ = 33993870704640.

The previous prime is 133406425483967. The next prime is 133406425484023. The reversal of 133406425483968 is 869384524604331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 133406425483899 and 133406425483908.

It is not an unprimeable number, because it can be changed into a prime (133406425483967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333987346 + ... + 334386542.

It is an arithmetic number, because the mean of its divisors is an integer number (1002606535296).

Almost surely, 2^{133406425483968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133406425483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224583863906304).

133406425483968 is an abundant number, since it is smaller than the sum of its proper divisors (315761302328640).

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

133406425483968 is a wasteful number, since it uses less digits than its factorization.

133406425483968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399880 (or 399870 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 66.

The spelling of 133406425483968 in words is "one hundred thirty-three trillion, four hundred six billion, four hundred twenty-five million, four hundred eighty-three thousand, nine hundred sixty-eight".