11106367488 has 336 divisors, whose sum is σ = 34266992760. Its totient is φ = 3595124736.

The previous prime is 11106367457. The next prime is 11106367507. The reversal of 11106367488 is 88476360111.

11106367488 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 636 + 7 + 4 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 64198570 + ... + 64198742.

Almost surely, 2^11106367488 is an apocalyptic number.

11106367488 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 11106367488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133496380).

11106367488 is an abundant number, since it is smaller than the sum of its proper divisors (23160625272).

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

11106367488 is an frugal number, since it uses more digits than its factorization.

11106367488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11106367488 in words is "eleven billion, one hundred six million, three hundred sixty-seven thousand, four hundred eighty-eight".