33342106858452 has 288 divisors, whose sum is σ = 98807632035840. Its totient is φ = 9283386309120.

The previous prime is 33342106858439. The next prime is 33342106858469. The reversal of 33342106858452 is 25485860124333.

33342106858452 is a `hidden beast` number, since 3 + 3 + 3 + 4 + 2 + 1 + 0 + 6 + 8 + 584 + 52 = 666.

It is a super-2 number, since 2×33342106858452² (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 95 ways as a sum of consecutive naturals, for example, 2494353073 + ... + 2494366439.

It is an arithmetic number, because the mean of its divisors is an integer number (343082055680).

Almost surely, 2^{33342106858452} 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 33342106858452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49403816017920).

33342106858452 is an abundant number, since it is smaller than the sum of its proper divisors (65465525177388).

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

33342106858452 is a wasteful number, since it uses less digits than its factorization.

33342106858452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14891 (or 14886 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 33342106858452 in words is "thirty-three trillion, three hundred forty-two billion, one hundred six million, eight hundred fifty-eight thousand, four hundred fifty-two".