33134421148752 has 480 divisors, whose sum is σ = 109919364710400. Its totient is φ = 8415220746240.

The previous prime is 33134421148723. The next prime is 33134421148753. The reversal of 33134421148752 is 25784112443133.

It is a super-2 number, since 2×33134421148752² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33134421148753) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2157321649 + ... + 2157337007.

It is an arithmetic number, because the mean of its divisors is an integer number (228998676480).

Almost surely, 2^{33134421148752} 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 33134421148752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54959682355200).

33134421148752 is an abundant number, since it is smaller than the sum of its proper divisors (76784943561648).

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

33134421148752 is a wasteful number, since it uses less digits than its factorization.

33134421148752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16575 (or 16558 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 33134421148752 in words is "thirty-three trillion, one hundred thirty-four billion, four hundred twenty-one million, one hundred forty-eight thousand, seven hundred fifty-two".