33148980000 has 960 divisors, whose sum is σ = 134335998720. Its totient is φ = 7907328000.

The previous prime is 33148979893. The next prime is 33148980001. The reversal of 33148980000 is 8984133.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (33148980001) 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 159 ways as a sum of consecutive naturals, for example, 211139922 + ... + 211140078.

It is an arithmetic number, because the mean of its divisors is an integer number (139933332).

Almost surely, 2^33148980000 is an apocalyptic number.

33148980000 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 33148980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67167999360).

33148980000 is an abundant number, since it is smaller than the sum of its proper divisors (101187018720).

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

33148980000 is a wasteful number, since it uses less digits than its factorization.

33148980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 33148980000 in words is "thirty-three billion, one hundred forty-eight million, nine hundred eighty thousand".