22144274460 has 288 divisors, whose sum is σ = 88672776192. Its totient is φ = 4330690560.

The previous prime is 22144274441. The next prime is 22144274507. The reversal of 22144274460 is 6447244122.

22144274460 is a `hidden beast` number, since 221 + 4 + 427 + 4 + 4 + 6 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 188629 + ... + 282611.

It is an arithmetic number, because the mean of its divisors is an integer number (307891584).

Almost surely, 2^22144274460 is an apocalyptic number.

22144274460 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 22144274460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44336388096).

22144274460 is an abundant number, since it is smaller than the sum of its proper divisors (66528501732).

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

22144274460 is a wasteful number, since it uses less digits than its factorization.

22144274460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94033 (or 94028 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 22144274460 in words is "twenty-two billion, one hundred forty-four million, two hundred seventy-four thousand, four hundred sixty".