13845410611200 has 2160 divisors, whose sum is σ = 61418846174400. Its totient is φ = 3027071139840.

The previous prime is 13845410611133. The next prime is 13845410611229. The reversal of 13845410611200 is 211601454831.

13845410611200 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 5 + 4 + 10 + 611 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 601974374389 + ... + 601974374411.

Almost surely, 2^{13845410611200} is an apocalyptic number.

13845410611200 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 13845410611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30709423087200).

13845410611200 is an abundant number, since it is smaller than the sum of its proper divisors (47573435563200).

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

13845410611200 is an frugal number, since it uses more digits than its factorization.

13845410611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 13845410611200 in words is "thirteen trillion, eight hundred forty-five billion, four hundred ten million, six hundred eleven thousand, two hundred".