11460161250216 has 384 divisors, whose sum is σ = 36754471353600. Its totient is φ = 3157961748480.

The previous prime is 11460161250179. The next prime is 11460161250233. The reversal of 11460161250216 is 61205216106411.

11460161250216 is a `hidden beast` number, since 1 + 1 + 4 + 601 + 6 + 1 + 25 + 0 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1583547750 + ... + 1583554986.

It is an arithmetic number, because the mean of its divisors is an integer number (95714769150).

Almost surely, 2^{11460161250216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11460161250216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18377235676800).

11460161250216 is an abundant number, since it is smaller than the sum of its proper divisors (25294310103384).

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

11460161250216 is a wasteful number, since it uses less digits than its factorization.

11460161250216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8209 (or 8202 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 11460161250216 its reverse (61205216106411), we get a palindrome (72665377356627).

The spelling of 11460161250216 in words is "eleven trillion, four hundred sixty billion, one hundred sixty-one million, two hundred fifty thousand, two hundred sixteen".