1103352148800 has 1344 divisors, whose sum is σ = 4574126284800. Its totient is φ = 258432768000.

The previous prime is 1103352148783. The next prime is 1103352148841. The reversal of 1103352148800 is 88412533011.

1103352148800 is a `hidden beast` number, since 1 + 10 + 3 + 3 + 521 + 48 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1782474891 + ... + 1782475509.

Almost surely, 2^{1103352148800} is an apocalyptic number.

1103352148800 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 1103352148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287063142400).

1103352148800 is an abundant number, since it is smaller than the sum of its proper divisors (3470774136000).

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

1103352148800 is a wasteful number, since it uses less digits than its factorization.

1103352148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 671 counting only the distinct ones).

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

The spelling of 1103352148800 in words is "one trillion, one hundred three billion, three hundred fifty-two million, one hundred forty-eight thousand, eight hundred".