11652213501008 has 80 divisors (see below), whose sum is σ = 23454819308880. Its totient is φ = 5601097678848.

The previous prime is 11652213501007. The next prime is 11652213501077. The reversal of 11652213501008 is 80010531225611.

11652213501008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4684661990464 + 6967551510544 = 2164408^2 + 2639612^2 .

It is a super-2 number, since 2×11652213501008² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11652213501007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323501816 + ... + 323537832.

It is an arithmetic number, because the mean of its divisors is an integer number (293185241361).

Almost surely, 2^{11652213501008} 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 11652213501008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11727409654440).

11652213501008 is an abundant number, since it is smaller than the sum of its proper divisors (11802605807872).

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

11652213501008 is a wasteful number, since it uses less digits than its factorization.

11652213501008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39024 (or 39018 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

Adding to 11652213501008 its reverse (80010531225611), we get a palindrome (91662744726619).

The spelling of 11652213501008 in words is "eleven trillion, six hundred fifty-two billion, two hundred thirteen million, five hundred one thousand, eight".