38468021217552 has 70 divisors (see below), whose sum is σ = 111746567499102. Its totient is φ = 12822673735296.

The previous prime is 38468021217529. The next prime is 38468021217583. The reversal of 38468021217552 is 25571212086483.

It is a happy number.

38468021217552 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 80 + 2 + 1 + 2 + 1 + 7 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35441590384656 + 3026430832896 = 5953284^2 + 1739664^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1648994733 + ... + 1649018060.

Almost surely, 2^{38468021217552} is an apocalyptic number.

It is an amenable number.

38468021217552 is an abundant number, since it is smaller than the sum of its proper divisors (73278546281550).

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

38468021217552 is an equidigital number, since it uses as much as digits as its factorization.

38468021217552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298012819 (or 3298012798 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 38468021217552 in words is "thirty-eight trillion, four hundred sixty-eight billion, twenty-one million, two hundred seventeen thousand, five hundred fifty-two".