11145476160 has 1008 divisors, whose sum is σ = 50405531904. Its totient is φ = 2197020672.

The previous prime is 11145476143. The next prime is 11145476161. The reversal of 11145476160 is 6167454111.

11145476160 is a `hidden beast` number, since 11 + 14 + 5 + 476 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (11145476161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259197099 + ... + 259197141.

It is an arithmetic number, because the mean of its divisors is an integer number (50005488).

Almost surely, 2^11145476160 is an apocalyptic number.

11145476160 is a gapful number since it is divisible by the number (10) 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 11145476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25202765952).

11145476160 is an abundant number, since it is smaller than the sum of its proper divisors (39260055744).

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

11145476160 is a wasteful number, since it uses less digits than its factorization.

11145476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11145476160 in words is "eleven billion, one hundred forty-five million, four hundred seventy-six thousand, one hundred sixty".