1823067044100 has 81 divisors (see below), whose sum is σ = 5714429335797. Its totient is φ = 486140410080.

The previous prime is 1823067044089. The next prime is 1823067044143. The reversal of 1823067044100 is 14407603281.

The square root of 1823067044100 is 1350210.

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

1823067044100 is a `hidden beast` number, since 1 + 8 + 230 + 6 + 7 + 0 + 4 + 410 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 656304135876 + 1166762908224 = 810126^2 + 1080168^2 .

It is a super-2 number, since 2×1823067044100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 40483797 + ... + 40528803.

Almost surely, 2^{1823067044100} is an apocalyptic number.

1823067044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1823067044100 is the 1350210-th square number.

It is an amenable number.

1823067044100 is an abundant number, since it is smaller than the sum of its proper divisors (3891362291697).

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

1823067044100 is an frugal number, since it uses more digits than its factorization.

1823067044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90034 (or 45017 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 1823067044100 by its sum of digits (36), we get a square (65630413587600 = 8101260²).

1823067044100 divided by its sum of digits (36) gives a square (50640751225 = 225035²).

The spelling of 1823067044100 in words is "one trillion, eight hundred twenty-three billion, sixty-seven million, forty-four thousand, one hundred".