13304548051600 has 135 divisors (see below), whose sum is σ = 34614564014673. Its totient is φ = 4912098347520.

The previous prime is 13304548051583. The next prime is 13304548051621. The reversal of 13304548051600 is 615084540331.

The square root of 13304548051600 is 3647540.

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 11500318828944 + 1804229222656 = 3391212^2 + 1343216^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

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, 948353386 + ... + 948367414.

Almost surely, 2^{13304548051600} is an apocalyptic number.

13304548051600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13304548051600 is the 3647540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13304548051600

13304548051600 is an abundant number, since it is smaller than the sum of its proper divisors (21310015963073).

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

13304548051600 is an frugal number, since it uses more digits than its factorization.

13304548051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28102 (or 14049 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 13304548051600 in words is "thirteen trillion, three hundred four billion, five hundred forty-eight million, fifty-one thousand, six hundred".