33444865056 has 96 divisors (see below), whose sum is σ = 90188380800. Its totient is φ = 10845624320.

The previous prime is 33444865039. The next prime is 33444865057. The reversal of 33444865056 is 65056844433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33444865056² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33444864996 and 33444865014.

It is not an unprimeable number, because it can be changed into a prime (33444865057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401190 + ... + 1424858.

It is an arithmetic number, because the mean of its divisors is an integer number (939462300).

Almost surely, 2^33444865056 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 33444865056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45094190400).

33444865056 is an abundant number, since it is smaller than the sum of its proper divisors (56743515744).

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

33444865056 is a wasteful number, since it uses less digits than its factorization.

33444865056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24082 (or 24074 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 33444865056 in words is "thirty-three billion, four hundred forty-four million, eight hundred sixty-five thousand, fifty-six".