11106462904320 has 416 divisors, whose sum is σ = 40663258859520. Its totient is φ = 2535476428800.

The previous prime is 11106462904297. The next prime is 11106462904331. The reversal of 11106462904320 is 2340926460111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356520745 + ... + 356551895.

Almost surely, 2^{11106462904320} is an apocalyptic number.

11106462904320 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 11106462904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20331629429760).

11106462904320 is an abundant number, since it is smaller than the sum of its proper divisors (29556795955200).

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

11106462904320 is an equidigital number, since it uses as much as digits as its factorization.

11106462904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32019 (or 31997 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 11106462904320 in words is "eleven trillion, one hundred six billion, four hundred sixty-two million, nine hundred four thousand, three hundred twenty".