33164150400 has 288 divisors, whose sum is σ = 124567622400. Its totient is φ = 8378173440.

The previous prime is 33164150399. The next prime is 33164150401. The reversal of 33164150400 is 405146133.

It is an interprime number because it is at equal distance from previous prime (33164150399) and next prime (33164150401).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (33164150401) 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 35 ways as a sum of consecutive naturals, for example, 516897 + ... + 577503.

Almost surely, 2^33164150400 is an apocalyptic number.

33164150400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33164150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62283811200).

33164150400 is an abundant number, since it is smaller than the sum of its proper divisors (91403472000).

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

33164150400 is a wasteful number, since it uses less digits than its factorization.

33164150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60656 (or 60636 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 33164150400 its reverse (405146133), we get a palindrome (33569296533).

The spelling of 33164150400 in words is "thirty-three billion, one hundred sixty-four million, one hundred fifty thousand, four hundred".