13350045693600 has 576 divisors, whose sum is σ = 60196577172480. Its totient is φ = 2774035123200.

The previous prime is 13350045693571. The next prime is 13350045693623. The reversal of 13350045693600 is 639654005331.

13350045693600 is a `hidden beast` number, since 1 + 3 + 3 + 50 + 0 + 4 + 569 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2350162 + ... + 5676561.

It is an arithmetic number, because the mean of its divisors is an integer number (104507946480).

Almost surely, 2^{13350045693600} is an apocalyptic number.

13350045693600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13350045693600 is an abundant number, since it is smaller than the sum of its proper divisors (46846531478880).

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

13350045693600 is a wasteful number, since it uses less digits than its factorization.

13350045693600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8026770 (or 8026751 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

Adding to 13350045693600 its reverse (639654005331), we get a palindrome (13989699698931).

The spelling of 13350045693600 in words is "thirteen trillion, three hundred fifty billion, forty-five million, six hundred ninety-three thousand, six hundred".