133349944573664 has 384 divisors, whose sum is σ = 357815574144000. Its totient is φ = 47436054478848.

The previous prime is 133349944573661. The next prime is 133349944573709. The reversal of 133349944573664 is 466375449943331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133349944573661) 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, 93961892 + ... + 95370524.

It is an arithmetic number, because the mean of its divisors is an integer number (931811391000).

Almost surely, 2^{133349944573664} is an apocalyptic number.

133349944573664 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 133349944573664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178907787072000).

133349944573664 is an abundant number, since it is smaller than the sum of its proper divisors (224465629570336).

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

133349944573664 is a wasteful number, since it uses less digits than its factorization.

133349944573664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408770 (or 1408762 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 71.

The spelling of 133349944573664 in words is "one hundred thirty-three trillion, three hundred forty-nine billion, nine hundred forty-four million, five hundred seventy-three thousand, six hundred sixty-four".