1363733484100 has 135 divisors (see below), whose sum is σ = 3210547722081. Its totient is φ = 502803662400.

The previous prime is 1363733484079. The next prime is 1363733484101. The reversal of 1363733484100 is 14843373631.

It is a happy number.

The square root of 1363733484100 is 1167790.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1338033546756 + 25699937344 = 1156734^2 + 160312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1363733484101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1973564755 + ... + 1973565445.

Almost surely, 2^{1363733484100} is an apocalyptic number.

1363733484100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1363733484100 is the 1167790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363733484100

1363733484100 is an abundant number, since it is smaller than the sum of its proper divisors (1846814237981).

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

1363733484100 is an frugal number, since it uses more digits than its factorization.

1363733484100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 1363733484100 in words is "one trillion, three hundred sixty-three billion, seven hundred thirty-three million, four hundred eighty-four thousand, one hundred".