1893678732100 has 81 divisors (see below), whose sum is σ = 4133643849783. Its totient is φ = 753007392000.

The previous prime is 1893678732073. The next prime is 1893678732107. The reversal of 1893678732100 is 12378763981.

It is a happy number.

The square root of 1893678732100 is 1376110.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28181679876 + 1865497052224 = 167874^2 + 1365832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1893678732107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3316424815 + ... + 3316425385.

Almost surely, 2^{1893678732100} is an apocalyptic number.

1893678732100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1893678732100 is the 1376110-th square number.

It is an amenable number.

1893678732100 is an abundant number, since it is smaller than the sum of its proper divisors (2239965117683).

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

1893678732100 is an frugal number, since it uses more digits than its factorization.

1893678732100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 1893678732100 in words is "one trillion, eight hundred ninety-three billion, six hundred seventy-eight million, seven hundred thirty-two thousand, one hundred".