11646430104120 has 512 divisors, whose sum is σ = 42489308160000. Its totient is φ = 2494581110784.

The previous prime is 11646430104119. The next prime is 11646430104121. The reversal of 11646430104120 is 2140103464611.

It is an interprime number because it is at equal distance from previous prime (11646430104119) and next prime (11646430104121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11646430104121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1210768671 + ... + 1210778289.

It is an arithmetic number, because the mean of its divisors is an integer number (82986930000).

Almost surely, 2^{11646430104120} is an apocalyptic number.

11646430104120 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 11646430104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244654080000).

11646430104120 is an abundant number, since it is smaller than the sum of its proper divisors (30842878055880).

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

11646430104120 is a wasteful number, since it uses less digits than its factorization.

11646430104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10475 (or 10471 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 11646430104120 its reverse (2140103464611), we get a palindrome (13786533568731).

The spelling of 11646430104120 in words is "eleven trillion, six hundred forty-six billion, four hundred thirty million, one hundred four thousand, one hundred twenty".