33945000480768 has 416 divisors, whose sum is σ = 102684493864960. Its totient is φ = 9886871715840.

The previous prime is 33945000480763. The next prime is 33945000480803. The reversal of 33945000480768 is 86708400054933.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×33945000480768² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (33945000480763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4464681255 + ... + 4464688857.

Almost surely, 2^{33945000480768} is an apocalyptic number.

33945000480768 is a gapful number since it is divisible by the number (38) 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 33945000480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51342246932480).

33945000480768 is an abundant number, since it is smaller than the sum of its proper divisors (68739493384192).

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

33945000480768 is a wasteful number, since it uses less digits than its factorization.

33945000480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 33945000480768 in words is "thirty-three trillion, nine hundred forty-five billion, four hundred eighty thousand, seven hundred sixty-eight".