33794288046 has 32 divisors (see below), whose sum is σ = 75105835680. Its totient is φ = 11263650048.

The previous prime is 33794288023. The next prime is 33794288071. The reversal of 33794288046 is 64088249733.

33794288046 is a `hidden beast` number, since 33 + 79 + 428 + 80 + 46 = 666.

It is a super-2 number, since 2×33794288046² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 33794287983 and 33794288001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 664350 + ... + 713406.

It is an arithmetic number, because the mean of its divisors is an integer number (2347057365).

Almost surely, 2^33794288046 is an apocalyptic number.

33794288046 is an abundant number, since it is smaller than the sum of its proper divisors (41311547634).

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

33794288046 is a wasteful number, since it uses less digits than its factorization.

33794288046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61825 (or 61819 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 33794288046 in words is "thirty-three billion, seven hundred ninety-four million, two hundred eighty-eight thousand, forty-six".