33448227391872 has 384 divisors, whose sum is σ = 102381532999200. Its totient is φ = 10863494184960.

The previous prime is 33448227391783. The next prime is 33448227391879. The reversal of 33448227391872 is 27819372284433.

It is a happy number.

33448227391872 is a `hidden beast` number, since 3 + 3 + 4 + 482 + 2 + 73 + 9 + 1 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33448227391872² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33448227391879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016368954 + ... + 1016401862.

Almost surely, 2^{33448227391872} is an apocalyptic number.

33448227391872 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 33448227391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51190766499600).

33448227391872 is an abundant number, since it is smaller than the sum of its proper divisors (68933305607328).

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

33448227391872 is an equidigital number, since it uses as much as digits as its factorization.

33448227391872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33776 (or 33752 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 33448227391872 in words is "thirty-three trillion, four hundred forty-eight billion, two hundred twenty-seven million, three hundred ninety-one thousand, eight hundred seventy-two".