33249706752 has 216 divisors, whose sum is σ = 93175527424. Its totient is φ = 10525059072.

The previous prime is 33249706741. The next prime is 33249706769. The reversal of 33249706752 is 25760794233.

It is a super-2 number, since 2×33249706752² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 90598473 + ... + 90598839.

Almost surely, 2^33249706752 is an apocalyptic number.

33249706752 is a gapful number since it is divisible by the number (32) 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 33249706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46587763712).

33249706752 is an abundant number, since it is smaller than the sum of its proper divisors (59925820672).

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

33249706752 is a wasteful number, since it uses less digits than its factorization.

33249706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 33249706752 in words is "thirty-three billion, two hundred forty-nine million, seven hundred six thousand, seven hundred fifty-two".