38223574212096 has 2880 divisors, whose sum is σ = 151723120348800. Its totient is φ = 9197573898240.

The previous prime is 38223574212071. The next prime is 38223574212193. The reversal of 38223574212096 is 69021247532283.

38223574212096 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 3 + 5 + 7 + 421 + 209 + 6 = 666.

It is a super-2 number, since 2×38223574212096² (a number of 28 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 243462256050 + ... + 243462256206.

It is an arithmetic number, because the mean of its divisors is an integer number (52681639010).

It is a 1-persistent number, because it is pandigital, but 2⋅38223574212096 = 76447148424192 is not.

Almost surely, 2^{38223574212096} is an apocalyptic number.

38223574212096 is a gapful number since it is divisible by the number (36) 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 38223574212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75861560174400).

38223574212096 is an abundant number, since it is smaller than the sum of its proper divisors (113499546136704).

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

38223574212096 is a wasteful number, since it uses less digits than its factorization.

38223574212096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 38223574212096 in words is "thirty-eight trillion, two hundred twenty-three billion, five hundred seventy-four million, two hundred twelve thousand, ninety-six".