1102145344000 has 160 divisors (see below), whose sum is σ = 2822551885296. Its totient is φ = 428942131200.

The previous prime is 1102145343997. The next prime is 1102145344021. The reversal of 1102145344000 is 4435412011.

It can be written as a sum of positive squares in 8 ways, for example, as 216649287936 + 885496056064 = 465456^2 + 941008^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2135284 + ... + 2600716.

Almost surely, 2^{1102145344000} is an apocalyptic number.

1102145344000 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 1102145344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411275942648).

1102145344000 is an abundant number, since it is smaller than the sum of its proper divisors (1720406541296).

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

1102145344000 is an frugal number, since it uses more digits than its factorization.

1102145344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465503 (or 465477 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 1102145344000 in words is "one trillion, one hundred two billion, one hundred forty-five million, three hundred forty-four thousand".