1332477748900 has 81 divisors (see below), whose sum is σ = 2926586683209. Its totient is φ = 526596111360.

The previous prime is 1332477748879. The next prime is 1332477748909. The reversal of 1332477748900 is 98477742331.

The square root of 1332477748900 is 1154330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 339648846436 + 992828902464 = 582794^2 + 996408^2 .

It is a super-2 number, since 2×1332477748900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332477748909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1027353052 + ... + 1027354348.

Almost surely, 2^{1332477748900} is an apocalyptic number.

1332477748900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1332477748900 is the 1154330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332477748900

1332477748900 is an abundant number, since it is smaller than the sum of its proper divisors (1594108934309).

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

1332477748900 is an frugal number, since it uses more digits than its factorization.

1332477748900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 55.

The spelling of 1332477748900 in words is "one trillion, three hundred thirty-two billion, four hundred seventy-seven million, seven hundred forty-eight thousand, nine hundred".