33314161231872 has 144 divisors (see below), whose sum is σ = 96238252803420. Its totient is φ = 11102315347968.

The previous prime is 33314161231853. The next prime is 33314161231927. The reversal of 33314161231872 is 27813216141333.

33314161231872 is a `hidden beast` number, since 3 + 3 + 3 + 14 + 1 + 612 + 3 + 18 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25791121622016 + 7523039609856 = 5078496^2 + 2742816^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33314161231872² (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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85939348 + ... + 86326124.

Almost surely, 2^{33314161231872} is an apocalyptic number.

33314161231872 is a gapful number since it is divisible by the number (32) 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 33314161231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48119126401710).

33314161231872 is an abundant number, since it is smaller than the sum of its proper divisors (62924091571548).

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

33314161231872 is a wasteful number, since it uses less digits than its factorization.

33314161231872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391478 (or 391455 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 33314161231872 in words is "thirty-three trillion, three hundred fourteen billion, one hundred sixty-one million, two hundred thirty-one thousand, eight hundred seventy-two".