33404545350 has 144 divisors (see below), whose sum is σ = 100552336560. Its totient is φ = 7879161600.

The previous prime is 33404545277. The next prime is 33404545357. The reversal of 33404545350 is 5354540433.

33404545350 is a `hidden beast` number, since 33 + 40 + 4 + 54 + 535 + 0 = 666.

It is a super-2 number, since 2×33404545350² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33404545357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91956 + ... + 274344.

It is an arithmetic number, because the mean of its divisors is an integer number (698280115).

Almost surely, 2^33404545350 is an apocalyptic number.

33404545350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33404545350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50276168280).

33404545350 is an abundant number, since it is smaller than the sum of its proper divisors (67147791210).

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

33404545350 is a wasteful number, since it uses less digits than its factorization.

33404545350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182455 (or 182447 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 33404545350 in words is "thirty-three billion, four hundred four million, five hundred forty-five thousand, three hundred fifty".