11402352225153 has 12 divisors (see below), whose sum is σ = 16871773211748. Its totient is φ = 7416164048640.

The previous prime is 11402352225139. The next prime is 11402352225167. The reversal of 11402352225153 is 35152225320411.

11402352225153 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 352 + 2 + 251 + 53 = 666.

11402352225153 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 (11402352225139) and next prime (11402352225167).

It can be written as a sum of positive squares in 2 ways, for example, as 4360796415504 + 7041555809649 = 2088252^2 + 2653593^2 .

It is not a de Polignac number, because 11402352225153 - 2¹⁶ = 11402352159617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11402352225053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15450341400 + ... + 15450342137.

It is an arithmetic number, because the mean of its divisors is an integer number (1405981100979).

Almost surely, 2^{11402352225153} is an apocalyptic number.

It is an amenable number.

11402352225153 is a deficient number, since it is larger than the sum of its proper divisors (5469420986595).

11402352225153 is a wasteful number, since it uses less digits than its factorization.

11402352225153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30900683584 (or 30900683581 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 11402352225153 its reverse (35152225320411), we get a palindrome (46554577545564).

The spelling of 11402352225153 in words is "eleven trillion, four hundred two billion, three hundred fifty-two million, two hundred twenty-five thousand, one hundred fifty-three".