13973051091600 has 450 divisors, whose sum is σ = 51818140399410. Its totient is φ = 3605940633600.

The previous prime is 13973051091599. The next prime is 13973051091613. The reversal of 13973051091600 is 619015037931.

It is a happy number.

13973051091600 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 30 + 5 + 1 + 0 + 9 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 178898545296 + 13794152546304 = 422964^2 + 3714048^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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 (23) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 30912016 + ... + 31360784.

Almost surely, 2^{13973051091600} is an apocalyptic number.

13973051091600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13973051091600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25909070199705).

13973051091600 is an abundant number, since it is smaller than the sum of its proper divisors (37845089307810).

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

13973051091600 is a wasteful number, since it uses less digits than its factorization.

13973051091600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448861 (or 448810 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 13973051091600 in words is "thirteen trillion, nine hundred seventy-three billion, fifty-one million, ninety-one thousand, six hundred".