33427121805 has 144 divisors (see below), whose sum is σ = 72969886080. Its totient is φ = 13856451840.

The previous prime is 33427121803. The next prime is 33427121807. The reversal of 33427121805 is 50812172433.

33427121805 is a `hidden beast` number, since 33 + 427 + 121 + 80 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (33427121803) and next prime (33427121807).

It is not a de Polignac number, because 33427121805 - 2¹ = 33427121803 is a prime.

It is a super-2 number, since 2×33427121805² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33427121805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33427121801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19399674 + ... + 19401396.

It is an arithmetic number, because the mean of its divisors is an integer number (506735320).

Almost surely, 2^33427121805 is an apocalyptic number.

33427121805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33427121805 is an abundant number, since it is smaller than the sum of its proper divisors (39542764275).

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

33427121805 is a wasteful number, since it uses less digits than its factorization.

33427121805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 33427121805 in words is "thirty-three billion, four hundred twenty-seven million, one hundred twenty-one thousand, eight hundred five".