11507436143616 has 2112 divisors, whose sum is σ = 41699531980800. Its totient is φ = 2810369802240.

The previous prime is 11507436143579. The next prime is 11507436143627. The reversal of 11507436143616 is 61634163470511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 217121436646 + ... + 217121436698.

Almost surely, 2^{11507436143616} is an apocalyptic number.

11507436143616 is a gapful number since it is divisible by the number (16) 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 11507436143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20849765990400).

11507436143616 is an abundant number, since it is smaller than the sum of its proper divisors (30192095837184).

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

11507436143616 is a wasteful number, since it uses less digits than its factorization.

11507436143616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 11507436143616 in words is "eleven trillion, five hundred seven billion, four hundred thirty-six million, one hundred forty-three thousand, six hundred sixteen".