33478386816 has 192 divisors, whose sum is σ = 103609666080. Its totient is φ = 9550098432.

The previous prime is 33478386811. The next prime is 33478386827. The reversal of 33478386816 is 61868387433.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×33478386816² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33478386811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17930715 + ... + 17932581.

Almost surely, 2^33478386816 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 33478386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51804833040).

33478386816 is an abundant number, since it is smaller than the sum of its proper divisors (70131279264).

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

33478386816 is a wasteful number, since it uses less digits than its factorization.

33478386816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2832 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The spelling of 33478386816 in words is "thirty-three billion, four hundred seventy-eight million, three hundred eighty-six thousand, eight hundred sixteen".