33364223004672 has 2080 divisors, whose sum is σ = 128790513561600. Its totient is φ = 8377190055936.

The previous prime is 33364223004667. The next prime is 33364223004683. The reversal of 33364223004672 is 27640032246333.

33364223004672 is a `hidden beast` number, since 3 + 3 + 364 + 223 + 0 + 0 + 4 + 67 + 2 = 666.

It is a super-2 number, since 2×33364223004672² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59261497063 + ... + 59261497625.

Almost surely, 2^{33364223004672} is an apocalyptic number.

33364223004672 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 33364223004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64395256780800).

33364223004672 is an abundant number, since it is smaller than the sum of its proper divisors (95426290556928).

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

33364223004672 is a wasteful number, since it uses less digits than its factorization.

33364223004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 45.

The spelling of 33364223004672 in words is "thirty-three trillion, three hundred sixty-four billion, two hundred twenty-three million, four thousand, six hundred seventy-two".