33164840016 has 160 divisors (see below), whose sum is σ = 118685260800. Its totient is φ = 8614235520.

The previous prime is 33164840003. The next prime is 33164840029. The reversal of 33164840016 is 61004846133.

It is a happy number.

33164840016 is a `hidden beast` number, since 3 + 3 + 1 + 648 + 4 + 0 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (33164840003) and next prime (33164840029).

It is a super-2 number, since 2×33164840016² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 465246 + ... + 531773.

It is an arithmetic number, because the mean of its divisors is an integer number (741782880).

Almost surely, 2^33164840016 is an apocalyptic number.

33164840016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33164840016 is an abundant number, since it is smaller than the sum of its proper divisors (85520420784).

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

33164840016 is a wasteful number, since it uses less digits than its factorization.

33164840016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997054 (or 997042 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 33164840016 in words is "thirty-three billion, one hundred sixty-four million, eight hundred forty thousand, sixteen".