22239270144 has 432 divisors, whose sum is σ = 82403778240. Its totient is φ = 5864140800.

The previous prime is 22239270121. The next prime is 22239270149. The reversal of 22239270144 is 44107293222.

It is a happy number.

22239270144 is a `hidden beast` number, since 222 + 392 + 7 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22239270099 and 22239270108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22239270149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4400419 + ... + 4405469.

Almost surely, 2^22239270144 is an apocalyptic number.

22239270144 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 22239270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41201889120).

22239270144 is an abundant number, since it is smaller than the sum of its proper divisors (60164508096).

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

22239270144 is a wasteful number, since it uses less digits than its factorization.

22239270144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22239270144 in words is "twenty-two billion, two hundred thirty-nine million, two hundred seventy thousand, one hundred forty-four".