33213943447104 has 224 divisors, whose sum is σ = 101005682948352. Its totient is φ = 9435571200000.

The previous prime is 33213943447067. The next prime is 33213943447133. The reversal of 33213943447104 is 40174434931233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×33213943447104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2067979234 + ... + 2067995294.

It is an arithmetic number, because the mean of its divisors is an integer number (450918227448).

Almost surely, 2^{33213943447104} 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 33213943447104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50502841474176).

33213943447104 is an abundant number, since it is smaller than the sum of its proper divisors (67791739501248).

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

33213943447104 is a wasteful number, since it uses less digits than its factorization.

33213943447104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24765 (or 24755 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 33213943447104 in words is "thirty-three trillion, two hundred thirteen billion, nine hundred forty-three million, four hundred forty-seven thousand, one hundred four".