1828807247556 has 81 divisors (see below), whose sum is σ = 4646173727559. Its totient is φ = 606538027008.

The previous prime is 1828807247543. The next prime is 1828807247557. The reversal of 1828807247556 is 6557427088281.

The square root of 1828807247556 is 1352334.

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

1828807247556 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 8 + 0 + 72 + 4 + 7 + 556 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1356838247556 + 471969000000 = 1164834^2 + 687000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1828807247493 and 1828807247502.

It is not an unprimeable number, because it can be changed into a prime (1828807247557) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2085298590 + ... + 2085299466.

Almost surely, 2^{1828807247556} is an apocalyptic number.

1828807247556 is the 1352334-th square number.

It is an amenable number.

1828807247556 is an abundant number, since it is smaller than the sum of its proper divisors (2817366480003).

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

1828807247556 is an frugal number, since it uses more digits than its factorization.

1828807247556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 1828807247556 in words is "one trillion, eight hundred twenty-eight billion, eight hundred seven million, two hundred forty-seven thousand, five hundred fifty-six".