22043913126144 has 1152 divisors, whose sum is σ = 74692210360320. Its totient is φ = 5651870515200.

The previous prime is 22043913126139. The next prime is 22043913126173. The reversal of 22043913126144 is 44162131934022.

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 = 22043913126096 and 22043913126105.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 81342852729 + ... + 81342852999.

It is an arithmetic number, because the mean of its divisors is an integer number (64836988160).

Almost surely, 2^{22043913126144} is an apocalyptic number.

22043913126144 is a gapful number since it is divisible by the number (24) 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 22043913126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37346105180160).

22043913126144 is an abundant number, since it is smaller than the sum of its proper divisors (52648297234176).

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

22043913126144 is an equidigital number, since it uses as much as digits as its factorization.

22043913126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 22043913126144 in words is "twenty-two trillion, forty-three billion, nine hundred thirteen million, one hundred twenty-six thousand, one hundred forty-four".