11193649740 has 576 divisors, whose sum is σ = 45307422720. Its totient is φ = 2233889280.

The previous prime is 11193649697. The next prime is 11193649741. The reversal of 11193649740 is 4794639111.

11193649740 = 340² + 341² + ... + 3227².

It is a happy number.

11193649740 is a `hidden beast` number, since 1 + 119 + 3 + 6 + 497 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11193649741) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17739225 + ... + 17739855.

It is an arithmetic number, because the mean of its divisors is an integer number (78658720).

Almost surely, 2^11193649740 is an apocalyptic number.

11193649740 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 11193649740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22653711360).

11193649740 is an abundant number, since it is smaller than the sum of its proper divisors (34113772980).

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

11193649740 is a wasteful number, since it uses less digits than its factorization.

11193649740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11193649740 in words is "eleven billion, one hundred ninety-three million, six hundred forty-nine thousand, seven hundred forty".