22738075416576 has 288 divisors, whose sum is σ = 70913294131680. Its totient is φ = 6977546551296.

The previous prime is 22738075416571. The next prime is 22738075416631. The reversal of 22738075416576 is 67561457083722.

It is a happy number.

22738075416576 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 8 + 0 + 7 + 54 + 1 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22738075416571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89249565 + ... + 89503971.

It is an arithmetic number, because the mean of its divisors is an integer number (246226715735).

Almost surely, 2^{22738075416576} is an apocalyptic number.

22738075416576 is a gapful number since it is divisible by the number (26) 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 22738075416576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35456647065840).

22738075416576 is an abundant number, since it is smaller than the sum of its proper divisors (48175218715104).

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

22738075416576 is a wasteful number, since it uses less digits than its factorization.

22738075416576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254821 (or 254798 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 22738075416576 in words is "twenty-two trillion, seven hundred thirty-eight billion, seventy-five million, four hundred sixteen thousand, five hundred seventy-six".