11953486224 has 75 divisors (see below), whose sum is σ = 34608252657. Its totient is φ = 3983183424.

The previous prime is 11953486219. The next prime is 11953486229. The reversal of 11953486224 is 42268435911.

The square root of 11953486224 is 109332.

It is a perfect power (a square), and thus also a powerful number.

11953486224 is a `hidden beast` number, since 1 + 19 + 5 + 3 + 4 + 8 + 622 + 4 = 666.

11953486224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11953486219) and next prime (11953486229).

It can be written as a sum of positive squares in only one way, i.e., 10124384400 + 1829101824 = 100620^2 + 42768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11953486224.

It is not an unprimeable number, because it can be changed into a prime (11953486229) 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 14 ways as a sum of consecutive naturals, for example, 3934434 + ... + 3937470.

Almost surely, 2^11953486224 is an apocalyptic number.

11953486224 is the 109332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11953486224

11953486224 is an abundant number, since it is smaller than the sum of its proper divisors (22654766433).

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

11953486224 is an frugal number, since it uses more digits than its factorization.

11953486224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094 (or 3042 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 11953486224 in words is "eleven billion, nine hundred fifty-three million, four hundred eighty-six thousand, two hundred twenty-four".