33894282816 has 105 divisors (see below), whose sum is σ = 100512581169. Its totient is φ = 11293675776.

The previous prime is 33894282803. The next prime is 33894282823. The reversal of 33894282816 is 61828249833.

The square root of 33894282816 is 184104.

It is a perfect power (a square), and thus also a powerful number.

33894282816 is a `hidden beast` number, since 338 + 9 + 4 + 28 + 281 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14544360000 + 19349922816 = 120600^2 + 139104^2 .

It is a super-2 number, since 2×33894282816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13254210 + ... + 13256766.

Almost surely, 2^33894282816 is an apocalyptic number.

33894282816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33894282816 is the 184104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33894282816

33894282816 is an abundant number, since it is smaller than the sum of its proper divisors (66618298353).

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

33894282816 is an frugal number, since it uses more digits than its factorization.

33894282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 2562 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 33894282816 in words is "thirty-three billion, eight hundred ninety-four million, two hundred eighty-two thousand, eight hundred sixteen".