1828013653764 has 72 divisors (see below), whose sum is σ = 4628860268760. Its totient is φ = 608277468672.

The previous prime is 1828013653757. The next prime is 1828013653771. The reversal of 1828013653764 is 4673563108281.

1828013653764 is a `hidden beast` number, since 18 + 2 + 8 + 0 + 1 + 36 + 537 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1828013653757) and next prime (1828013653771).

It can be written as a sum of positive squares in 4 ways, for example, as 21161520900 + 1806852132864 = 145470^2 + 1344192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1828013653764.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55329202 + ... + 55362230.

It is an arithmetic number, because the mean of its divisors is an integer number (64289725955).

Almost surely, 2^{1828013653764} is an apocalyptic number.

It is an amenable number.

1828013653764 is an abundant number, since it is smaller than the sum of its proper divisors (2800846614996).

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

1828013653764 is a wasteful number, since it uses less digits than its factorization.

1828013653764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35669 (or 35664 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1828013653764 in words is "one trillion, eight hundred twenty-eight billion, thirteen million, six hundred fifty-three thousand, seven hundred sixty-four".