1883536656400 has 135 divisors (see below), whose sum is σ = 5264541494301. Its totient is φ = 645718120320.

The previous prime is 1883536656373. The next prime is 1883536656401. The reversal of 1883536656400 is 46566353881.

The square root of 1883536656400 is 1372420.

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

It can be written as a sum of positive squares in only one way, i.e., 678073196304 + 1205463460096 = 823452^2 + 1097936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1883536656401) 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, 192133899 + ... + 192143701.

Almost surely, 2^{1883536656400} is an apocalyptic number.

1883536656400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1883536656400 is the 1372420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1883536656400

1883536656400 is an abundant number, since it is smaller than the sum of its proper divisors (3381004837901).

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

1883536656400 is an frugal number, since it uses more digits than its factorization.

1883536656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19638 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 1883536656400 in words is "one trillion, eight hundred eighty-three billion, five hundred thirty-six million, six hundred fifty-six thousand, four hundred".