11145381600 has 72 divisors (see below), whose sum is σ = 36278224920. Its totient is φ = 2972101120.

The previous prime is 11145381581. The next prime is 11145381617. The reversal of 11145381600 is 618354111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2319555 + ... + 2324354.

It is an arithmetic number, because the mean of its divisors is an integer number (503864235).

Almost surely, 2^11145381600 is an apocalyptic number.

11145381600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11145381600 is an abundant number, since it is smaller than the sum of its proper divisors (25132843320).

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

11145381600 is a wasteful number, since it uses less digits than its factorization.

11145381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643932 (or 4643919 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 11145381600 in words is "eleven billion, one hundred forty-five million, three hundred eighty-one thousand, six hundred".