33454100363838 has 128 divisors (see below), whose sum is σ = 83576834740224. Its totient is φ = 8672842713600.

The previous prime is 33454100363759. The next prime is 33454100363881. The reversal of 33454100363838 is 83836300145433.

It is a super-2 number, since 2×33454100363838² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 927124945 + ... + 927161027.

It is an arithmetic number, because the mean of its divisors is an integer number (652944021408).

Almost surely, 2^{33454100363838} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33454100363838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41788417370112).

33454100363838 is an abundant number, since it is smaller than the sum of its proper divisors (50122734376386).

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

33454100363838 is a wasteful number, since it uses less digits than its factorization.

33454100363838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39870.

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 33454100363838 in words is "thirty-three trillion, four hundred fifty-four billion, one hundred million, three hundred sixty-three thousand, eight hundred thirty-eight".