22034446083840 has 576 divisors, whose sum is σ = 73208427264000. Its totient is φ = 5643750604800.

The previous prime is 22034446083833. The next prime is 22034446083847. The reversal of 22034446083840 is 4838064443022.

It is an interprime number because it is at equal distance from previous prime (22034446083833) and next prime (22034446083847).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22034446083840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22034446083847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15638357056 + ... + 15638358464.

It is an arithmetic number, because the mean of its divisors is an integer number (127097964000).

Almost surely, 2^{22034446083840} is an apocalyptic number.

22034446083840 is a gapful number since it is divisible by the number (20) 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 22034446083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604213632000).

22034446083840 is an abundant number, since it is smaller than the sum of its proper divisors (51173981180160).

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

22034446083840 is a wasteful number, since it uses less digits than its factorization.

22034446083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 48.

The spelling of 22034446083840 in words is "twenty-two trillion, thirty-four billion, four hundred forty-six million, eighty-three thousand, eight hundred forty".