33745045948416 has 480 divisors, whose sum is σ = 116425167899040. Its totient is φ = 9624246681600.

The previous prime is 33745045948403. The next prime is 33745045948441. The reversal of 33745045948416 is 61484954054733.

33745045948416 is a `hidden beast` number, since 3 + 3 + 7 + 450 + 4 + 5 + 94 + 84 + 16 = 666.

It is a super-2 number, since 2×33745045948416² (a number of 28 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 30477151 + ... + 31564961.

It is an arithmetic number, because the mean of its divisors is an integer number (242552433123).

Almost surely, 2^{33745045948416} is an apocalyptic number.

33745045948416 is a gapful number since it is divisible by the number (36) 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 33745045948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58212583949520).

33745045948416 is an abundant number, since it is smaller than the sum of its proper divisors (82680121950624).

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

33745045948416 is a wasteful number, since it uses less digits than its factorization.

33745045948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087873 (or 1087844 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 33745045948416 in words is "thirty-three trillion, seven hundred forty-five billion, forty-five million, nine hundred forty-eight thousand, four hundred sixteen".