33644140220544 has 512 divisors, whose sum is σ = 107419524710400. Its totient is φ = 9127611187200.

The previous prime is 33644140220533. The next prime is 33644140220563. The reversal of 33644140220544 is 44502204144633.

It is a super-2 number, since 2×33644140220544² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 33644140220496 and 33644140220505.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2129772454 + ... + 2129788250.

It is an arithmetic number, because the mean of its divisors is an integer number (209803759200).

Almost surely, 2^{33644140220544} 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 33644140220544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53709762355200).

33644140220544 is an abundant number, since it is smaller than the sum of its proper divisors (73775384489856).

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

33644140220544 is a wasteful number, since it uses less digits than its factorization.

33644140220544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16332 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 33644140220544 in words is "thirty-three trillion, six hundred forty-four billion, one hundred forty million, two hundred twenty thousand, five hundred forty-four".