8418354073600 has 117 divisors (see below), whose sum is σ = 20877272132997. Its totient is φ = 3366970245120.

The previous prime is 8418354073583. The next prime is 8418354073601. The reversal of 8418354073600 is 63704538148.

The square root of 8418354073600 is 2901440.

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

It can be written as a sum of positive squares in only one way, i.e., 3030607466496 + 5387746607104 = 1740864^2 + 2321152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8418354073601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 928456267 + ... + 928465333.

Almost surely, 2^{8418354073600} is an apocalyptic number.

8418354073600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8418354073600 is the 2901440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8418354073600

8418354073600 is an abundant number, since it is smaller than the sum of its proper divisors (12458918059397).

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

8418354073600 is an frugal number, since it uses more digits than its factorization.

8418354073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18168 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 8418354073600 by its sum of digits (49), we get a square (412499349606400 = 20310080²).

The spelling of 8418354073600 in words is "eight trillion, four hundred eighteen billion, three hundred fifty-four million, seventy-three thousand, six hundred".