11345561136 has 480 divisors, whose sum is σ = 41381726400. Its totient is φ = 2986357248.

The previous prime is 11345561107. The next prime is 11345561207. The reversal of 11345561136 is 63116554311.

11345561136 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 5 + 5 + 611 + 36 = 666.

It is a super-2 number, since 2×11345561136² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11345561136.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22289650 + ... + 22290158.

It is an arithmetic number, because the mean of its divisors is an integer number (86211930).

Almost surely, 2^11345561136 is an apocalyptic number.

11345561136 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 11345561136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690863200).

11345561136 is an abundant number, since it is smaller than the sum of its proper divisors (30036165264).

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

11345561136 is an equidigital number, since it uses as much as digits as its factorization.

11345561136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 534 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 11345561136 in words is "eleven billion, three hundred forty-five million, five hundred sixty-one thousand, one hundred thirty-six".