33354138384840 has 256 divisors, whose sum is σ = 123163055608320. Its totient is φ = 7036824453120.

The previous prime is 33354138384797. The next prime is 33354138384841. The reversal of 33354138384840 is 4848383145333.

It is a super-2 number, since 2×33354138384840² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33354138384841) 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, 153656062 + ... + 153872978.

It is an arithmetic number, because the mean of its divisors is an integer number (481105685970).

Almost surely, 2^{33354138384840} is an apocalyptic number.

33354138384840 is a gapful number since it is divisible by the number (30) 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 33354138384840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61581527804160).

33354138384840 is an abundant number, since it is smaller than the sum of its proper divisors (89808917223480).

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

33354138384840 is a wasteful number, since it uses less digits than its factorization.

33354138384840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231032 (or 231028 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 33354138384840 in words is "thirty-three trillion, three hundred fifty-four billion, one hundred thirty-eight million, three hundred eighty-four thousand, eight hundred forty".