11162063045952 has 672 divisors, whose sum is σ = 39850104053760. Its totient is φ = 2908647014400.

The previous prime is 11162063045921. The next prime is 11162063045957. The reversal of 11162063045952 is 25954036026111.

It is a happy number.

11162063045952 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 2 + 0 + 630 + 4 + 5 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 11162063045898 and 11162063045907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11162063045957) 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, 2188208202 + ... + 2188213302.

It is an arithmetic number, because the mean of its divisors is an integer number (59300750080).

Almost surely, 2^{11162063045952} is an apocalyptic number.

11162063045952 is a gapful number since it is divisible by the number (12) 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 11162063045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925052026880).

11162063045952 is an abundant number, since it is smaller than the sum of its proper divisors (28688041007808).

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

11162063045952 is a wasteful number, since it uses less digits than its factorization.

11162063045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 11162063045952 in words is "eleven trillion, one hundred sixty-two billion, sixty-three million, forty-five thousand, nine hundred fifty-two".