11123451605616 has 320 divisors, whose sum is σ = 34382427955200. Its totient is φ = 3031888527360.

The previous prime is 11123451605557. The next prime is 11123451605621. The reversal of 11123451605616 is 61650615432111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 2747207560 + ... + 2747211608.

It is an arithmetic number, because the mean of its divisors is an integer number (107445087360).

Almost surely, 2^{11123451605616} is an apocalyptic number.

11123451605616 is a gapful number since it is divisible by the number (16) 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 11123451605616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191213977600).

11123451605616 is an abundant number, since it is smaller than the sum of its proper divisors (23258976349584).

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

11123451605616 is a wasteful number, since it uses less digits than its factorization.

11123451605616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 11123451605616 in words is "eleven trillion, one hundred twenty-three billion, four hundred fifty-one million, six hundred five thousand, six hundred sixteen".