11945027211264 has 780 divisors, whose sum is σ = 42523883072748. Its totient is φ = 3329438515200.

The previous prime is 11945027211233. The next prime is 11945027211269. The reversal of 11945027211264 is 46211272054911.

It is a happy number.

11945027211264 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 502 + 72 + 1 + 12 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 337105649664 + 11607921561600 = 580608^2 + 3407040^2 .

It is not an unprimeable number, because it can be changed into a prime (11945027211269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 666529024 + ... + 666546944.

Almost surely, 2^{11945027211264} is an apocalyptic number.

11945027211264 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 11945027211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21261941536374).

11945027211264 is an abundant number, since it is smaller than the sum of its proper divisors (30578855861484).

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

11945027211264 is an equidigital number, since it uses as much as digits as its factorization.

11945027211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18012 (or 17974 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11945027211264 in words is "eleven trillion, nine hundred forty-five billion, twenty-seven million, two hundred eleven thousand, two hundred sixty-four".