133414342051848 has 512 divisors, whose sum is σ = 415397089497600. Its totient is φ = 35140150886400.

The previous prime is 133414342051817. The next prime is 133414342051849. The reversal of 133414342051848 is 848150243414331.

It is a super-2 number, since 2×133414342051848² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133414342051848.

It is not an unprimeable number, because it can be changed into a prime (133414342051849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17208088740 + ... + 17208096492.

It is an arithmetic number, because the mean of its divisors is an integer number (811322440425).

Almost surely, 2^{133414342051848} 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 133414342051848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207698544748800).

133414342051848 is an abundant number, since it is smaller than the sum of its proper divisors (281982747445752).

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

133414342051848 is a wasteful number, since it uses less digits than its factorization.

133414342051848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12073 (or 12069 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 133414342051848 in words is "one hundred thirty-three trillion, four hundred fourteen billion, three hundred forty-two million, fifty-one thousand, eight hundred forty-eight".