1817828496 has 405 divisors, whose sum is σ = 6269314233. Its totient is φ = 491166720.

The previous prime is 1817828429. The next prime is 1817828539. The reversal of 1817828496 is 6948287181.

The square root of 1817828496 is 42636.

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

1817828496 is a `hidden beast` number, since 1 + 81 + 78 + 2 + 8 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1415264400 + 402564096 = 37620^2 + 20064^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (1548288) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 95675175 + ... + 95675193.

Almost surely, 2^1817828496 is an apocalyptic number.

1817828496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1817828496 is the 42636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1817828496

1817828496 is an abundant number, since it is smaller than the sum of its proper divisors (4451485737).

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

1817828496 is a wasteful number, since it uses less digits than its factorization.

1817828496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The cubic root of 1817828496 is about 1220.4433791122.

The spelling of 1817828496 in words is "one billion, eight hundred seventeen million, eight hundred twenty-eight thousand, four hundred ninety-six".