11305124049450 has 384 divisors, whose sum is σ = 36674018426880. Its totient is φ = 2236066560000.

The previous prime is 11305124049437. The next prime is 11305124049463. The reversal of 11305124049450 is 5494042150311.

It is an interprime number because it is at equal distance from previous prime (11305124049437) and next prime (11305124049463).

It is a junction number, because it is equal to n+sod(n) for n = 11305124049399 and 11305124049408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21582246 + ... + 22099854.

It is an arithmetic number, because the mean of its divisors is an integer number (95505256320).

Almost surely, 2^{11305124049450} is an apocalyptic number.

11305124049450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11305124049450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18337009213440).

11305124049450 is an abundant number, since it is smaller than the sum of its proper divisors (25368894377430).

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

11305124049450 is a wasteful number, since it uses less digits than its factorization.

11305124049450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517734 (or 517729 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

Adding to 11305124049450 its reverse (5494042150311), we get a palindrome (16799166199761).

The spelling of 11305124049450 in words is "eleven trillion, three hundred five billion, one hundred twenty-four million, forty-nine thousand, four hundred fifty".