33382773840416 has 864 divisors, whose sum is σ = 100867919604480. Its totient is φ = 10704600023040.

The previous prime is 33382773840407. The next prime is 33382773840517. The reversal of 33382773840416 is 61404837728333.

It is a super-3 number, since 3×33382773840416³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 143 ways as a sum of consecutive naturals, for example, 796646921 + ... + 796688823.

It is an arithmetic number, because the mean of its divisors is an integer number (116745277320).

Almost surely, 2^{33382773840416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33382773840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50433959802240).

33382773840416 is an abundant number, since it is smaller than the sum of its proper divisors (67485145764064).

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

33382773840416 is a wasteful number, since it uses less digits than its factorization.

33382773840416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41998 (or 41972 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 59.

The spelling of 33382773840416 in words is "thirty-three trillion, three hundred eighty-two billion, seven hundred seventy-three million, eight hundred forty thousand, four hundred sixteen".