33508161376768 has 80 divisors (see below), whose sum is σ = 72130565457720. Its totient is φ = 15458951725056.

The previous prime is 33508161376747. The next prime is 33508161376799. The reversal of 33508161376768 is 86767316180533.

It can be written as a sum of positive squares in 4 ways, for example, as 29237292751104 + 4270868625664 = 5407152^2 + 2066608^2 .

It is a super-2 number, since 2×33508161376768² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15187788 + ... + 17253556.

Almost surely, 2^{33508161376768} 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 33508161376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36065282728860).

33508161376768 is an abundant number, since it is smaller than the sum of its proper divisors (38622404080952).

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

33508161376768 is a wasteful number, since it uses less digits than its factorization.

33508161376768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068237 (or 2068221 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 64.

The spelling of 33508161376768 in words is "thirty-three trillion, five hundred eight billion, one hundred sixty-one million, three hundred seventy-six thousand, seven hundred sixty-eight".