11438113350510 has 192 divisors, whose sum is σ = 37153457961984. Its totient is φ = 2371869734400.

The previous prime is 11438113350491. The next prime is 11438113350511. The reversal of 11438113350510 is 1505331183411.

11438113350510 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 8 + 1 + 133 + 5 + 0 + 510 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438113350511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1680330 + ... + 5069490.

It is an arithmetic number, because the mean of its divisors is an integer number (193507593552).

Almost surely, 2^{11438113350510} is an apocalyptic number.

11438113350510 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 11438113350510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576728980992).

11438113350510 is an abundant number, since it is smaller than the sum of its proper divisors (25715344611474).

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

11438113350510 is a wasteful number, since it uses less digits than its factorization.

11438113350510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389679 (or 3389676 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11438113350510 in words is "eleven trillion, four hundred thirty-eight billion, one hundred thirteen million, three hundred fifty thousand, five hundred ten".