11106146304 has 576 divisors, whose sum is σ = 39036816000. Its totient is φ = 3085516800.

The previous prime is 11106146299. The next prime is 11106146341. The reversal of 11106146304 is 40364160111.

11106146304 is a `hidden beast` number, since 1 + 1 + 10 + 6 + 14 + 630 + 4 = 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358262769 + ... + 358262799.

It is an arithmetic number, because the mean of its divisors is an integer number (67772250).

Almost surely, 2^11106146304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518408000).

11106146304 is an abundant number, since it is smaller than the sum of its proper divisors (27930669696).

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

11106146304 is a wasteful number, since it uses less digits than its factorization.

11106146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11106146304 in words is "eleven billion, one hundred six million, one hundred forty-six thousand, three hundred four".