11212165246464 has 720 divisors, whose sum is σ = 40256638579872. Its totient is φ = 2941457006592.

The previous prime is 11212165246459. The next prime is 11212165246489. The reversal of 11212165246464 is 46464256121211.

11212165246464 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 1 + 6 + 524 + 64 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1052088624 + ... + 1052099280.

Almost surely, 2^{11212165246464} is an apocalyptic number.

11212165246464 is a gapful number since it is divisible by the number (14) 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 11212165246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20128319289936).

11212165246464 is an abundant number, since it is smaller than the sum of its proper divisors (29044473333408).

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

11212165246464 is a wasteful number, since it uses less digits than its factorization.

11212165246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10907 (or 10875 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 11212165246464 in words is "eleven trillion, two hundred twelve billion, one hundred sixty-five million, two hundred forty-six thousand, four hundred sixty-four".