11106018459648 has 510 divisors, whose sum is σ = 38598850541526. Its totient is φ = 3173073813504.

The previous prime is 11106018459637. The next prime is 11106018459703. The reversal of 11106018459648 is 84695481060111.

11106018459648 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 6 + 0 + 1 + 8 + 4 + 596 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7605946220544 + 3500072239104 = 2757888^2 + 1870848^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11106018459594 and 11106018459603.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 260091036 + ... + 260133732.

Almost surely, 2^{11106018459648} is an apocalyptic number.

11106018459648 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 11106018459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19299425270763).

11106018459648 is an abundant number, since it is smaller than the sum of its proper divisors (27492832081878).

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

11106018459648 is an frugal number, since it uses more digits than its factorization.

11106018459648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42755 (or 42709 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 11106018459648 in words is "eleven trillion, one hundred six billion, eighteen million, four hundred fifty-nine thousand, six hundred forty-eight".