1105708413312 has 288 divisors, whose sum is σ = 3482475895080. Its totient is φ = 349167532032.

The previous prime is 1105708413311. The next prime is 1105708413373. The reversal of 1105708413312 is 2133148075011.

1105708413312 is a `hidden beast` number, since 1 + 1 + 0 + 570 + 8 + 41 + 33 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105708413311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11179308 + ... + 11277780.

Almost surely, 2^{1105708413312} is an apocalyptic number.

1105708413312 is a gapful number since it is divisible by the number (12) 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 1105708413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741237947540).

1105708413312 is an abundant number, since it is smaller than the sum of its proper divisors (2376767481768).

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

1105708413312 is an frugal number, since it uses more digits than its factorization.

1105708413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98540 (or 98497 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1105708413312 in words is "one trillion, one hundred five billion, seven hundred eight million, four hundred thirteen thousand, three hundred twelve".