1105214711328 has 864 divisors, whose sum is σ = 4196683685376. Its totient is φ = 272830795776.

The previous prime is 1105214711267. The next prime is 1105214711347. The reversal of 1105214711328 is 8231174125011.

It is a happy number.

1105214711328 is a `hidden beast` number, since 1 + 1 + 0 + 52 + 1 + 471 + 132 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1105214711292 and 1105214711301.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198313150 + ... + 198318722.

It is an arithmetic number, because the mean of its divisors is an integer number (4857272784).

Almost surely, 2^{1105214711328} is an apocalyptic number.

1105214711328 is a gapful number since it is divisible by the number (18) 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 1105214711328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098341842688).

1105214711328 is an abundant number, since it is smaller than the sum of its proper divisors (3091468974048).

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

1105214711328 is a wasteful number, since it uses less digits than its factorization.

1105214711328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 1105214711328 its reverse (8231174125011), we get a palindrome (9336388836339).

The spelling of 1105214711328 in words is "one trillion, one hundred five billion, two hundred fourteen million, seven hundred eleven thousand, three hundred twenty-eight".