33346642401 has 6 divisors (see below), whose sum is σ = 48167372370. Its totient is φ = 22231094928.

The previous prime is 33346642393. The next prime is 33346642403. The reversal of 33346642401 is 10424664333.

33346642401 is a `hidden beast` number, since 3 + 3 + 3 + 4 + 6 + 642 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17193503376 + 16153139025 = 131124^2 + 127095^2 .

It is not a de Polignac number, because 33346642401 - 2³ = 33346642393 is a prime.

It is a super-2 number, since 2×33346642401² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33346642403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1852591236 + ... + 1852591253.

It is an arithmetic number, because the mean of its divisors is an integer number (8027895395).

Almost surely, 2^33346642401 is an apocalyptic number.

It is an amenable number.

33346642401 is a deficient number, since it is larger than the sum of its proper divisors (14820729969).

33346642401 is a wasteful number, since it uses less digits than its factorization.

33346642401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705182495 (or 3705182492 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 33346642401 in words is "thirty-three billion, three hundred forty-six million, six hundred forty-two thousand, four hundred one".