38224446568992 has 384 divisors, whose sum is σ = 115910337312000. Its totient is φ = 12240563650560.

The previous prime is 38224446568961. The next prime is 38224446569077. The reversal of 38224446568992 is 29986564442283.

38224446568992 is a `hidden beast` number, since 3 + 82 + 2 + 4 + 4 + 465 + 6 + 89 + 9 + 2 = 666.

It is a super-2 number, since 2×38224446568992² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 38224446568992.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10223171859 + ... + 10223175597.

It is an arithmetic number, because the mean of its divisors is an integer number (301849836750).

Almost surely, 2^{38224446568992} is an apocalyptic number.

38224446568992 is a gapful number since it is divisible by the number (32) 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 38224446568992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57955168656000).

38224446568992 is an abundant number, since it is smaller than the sum of its proper divisors (77685890743008).

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

38224446568992 is a wasteful number, since it uses less digits than its factorization.

38224446568992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5707 counting only the distinct ones).

The product of its digits is 1433272320, while the sum is 72.

The spelling of 38224446568992 in words is "thirty-eight trillion, two hundred twenty-four billion, four hundred forty-six million, five hundred sixty-eight thousand, nine hundred ninety-two".