1049845708800 has 2304 divisors, whose sum is σ = 4738196736000. Its totient is φ = 222670356480.

The previous prime is 1049845708799. The next prime is 1049845708829. The reversal of 1049845708800 is 88075489401.

1049845708800 is a `hidden beast` number, since 1 + 0 + 498 + 4 + 5 + 70 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1049845708800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 191 ways as a sum of consecutive naturals, for example, 11796019156 + ... + 11796019244.

It is an arithmetic number, because the mean of its divisors is an integer number (2056509000).

Almost surely, 2^{1049845708800} is an apocalyptic number.

1049845708800 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 1049845708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369098368000).

1049845708800 is an abundant number, since it is smaller than the sum of its proper divisors (3688351027200).

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

1049845708800 is a wasteful number, since it uses less digits than its factorization.

1049845708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1049845708800 in words is "one trillion, forty-nine billion, eight hundred forty-five million, seven hundred eight thousand, eight hundred".