33948408559674 has 128 divisors (see below), whose sum is σ = 82229637611520. Its totient is φ = 9127456747200.

The previous prime is 33948408559669. The next prime is 33948408559789. The reversal of 33948408559674 is 47695580484933.

It is a super-2 number, since 2×33948408559674² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33948408559596 and 33948408559605.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 71344267 + ... + 71818529.

It is an arithmetic number, because the mean of its divisors is an integer number (642419043840).

Almost surely, 2^{33948408559674} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33948408559674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41114818805760).

33948408559674 is an abundant number, since it is smaller than the sum of its proper divisors (48281229051846).

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

33948408559674 is a wasteful number, since it uses less digits than its factorization.

33948408559674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474896.

The product of its (nonzero) digits is 3135283200, while the sum is 75.

The spelling of 33948408559674 in words is "thirty-three trillion, nine hundred forty-eight billion, four hundred eight million, five hundred fifty-nine thousand, six hundred seventy-four".