18254392970256 has 75 divisors (see below), whose sum is σ = 52833954459693. Its totient is φ = 6084746386560.

The previous prime is 18254392970249. The next prime is 18254392970257. The reversal of 18254392970256 is 65207929345281.

The square root of 18254392970256 is 4272516.

It is a perfect power (a square), and thus also a powerful number.

18254392970256 is a `hidden beast` number, since 1 + 82 + 5 + 439 + 2 + 9 + 70 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2355353200656 + 15899039769600 = 1534716^2 + 3987360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18254392970193 and 18254392970202.

It is not an unprimeable number, because it can be changed into a prime (18254392970257) 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 14 ways as a sum of consecutive naturals, for example, 153751236 + ... + 153869916.

It is a 2-persistent number, because it is pandigital, and so is 2⋅18254392970256 = 36508785940512, but 3⋅18254392970256 = 54763178910768 is not.

Almost surely, 2^{18254392970256} is an apocalyptic number.

18254392970256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18254392970256 is the 4272516-th square number.

It is an amenable number.

18254392970256 is an abundant number, since it is smaller than the sum of its proper divisors (34579561489437).

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

18254392970256 is an frugal number, since it uses more digits than its factorization.

18254392970256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237382 (or 118686 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 18254392970256 in words is "eighteen trillion, two hundred fifty-four billion, three hundred ninety-two million, nine hundred seventy thousand, two hundred fifty-six".