2103144868800 has 1344 divisors, whose sum is σ = 8293022784000. Its totient is φ = 516867194880.

The previous prime is 2103144868723. The next prime is 2103144868829. The reversal of 2103144868800 is 88684413012.

2103144868800 is a `hidden beast` number, since 210 + 314 + 48 + 6 + 8 + 80 + 0 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 6634526242 + ... + 6634526558.

Almost surely, 2^{2103144868800} is an apocalyptic number.

2103144868800 is a gapful number since it is divisible by the number (20) 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 2103144868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146511392000).

2103144868800 is an abundant number, since it is smaller than the sum of its proper divisors (6189877915200).

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

2103144868800 is a wasteful number, since it uses less digits than its factorization.

2103144868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2103144868800 in words is "two trillion, one hundred three billion, one hundred forty-four million, eight hundred sixty-eight thousand, eight hundred".