22381938288000 has 768 divisors, whose sum is σ = 84849021504000. Its totient is φ = 5638386585600.

The previous prime is 22381938287921. The next prime is 22381938288013. The reversal of 22381938288000 is 88283918322.

It is a happy number.

22381938288000 is a `hidden beast` number, since 22 + 381 + 93 + 82 + 8 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982212607 + ... + 982235393.

It is an arithmetic number, because the mean of its divisors is an integer number (110480496750).

Almost surely, 2^{22381938288000} is an apocalyptic number.

22381938288000 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 22381938288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42424510752000).

22381938288000 is an abundant number, since it is smaller than the sum of its proper divisors (62467083216000).

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

22381938288000 is a wasteful number, since it uses less digits than its factorization.

22381938288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23200 (or 23175 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 22381938288000 in words is "twenty-two trillion, three hundred eighty-one billion, nine hundred thirty-eight million, two hundred eighty-eight thousand".