1106496357120 has 576 divisors, whose sum is σ = 4895419898880. Its totient is φ = 229920768000.

The previous prime is 1106496357061. The next prime is 1106496357139. The reversal of 1106496357120 is 217536946011.

1106496357120 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 4 + 9 + 635 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2453220 + ... + 2869020.

It is an arithmetic number, because the mean of its divisors is an integer number (8498992880).

Almost surely, 2^{1106496357120} is an apocalyptic number.

1106496357120 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 1106496357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447709949440).

1106496357120 is an abundant number, since it is smaller than the sum of its proper divisors (3788923541760).

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

1106496357120 is a wasteful number, since it uses less digits than its factorization.

1106496357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415849 (or 415829 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1106496357120 in words is "one trillion, one hundred six billion, four hundred ninety-six million, three hundred fifty-seven thousand, one hundred twenty".