12362564312153 has 96 divisors (see below), whose sum is σ = 14836862880000. Its totient is φ = 10257477120000.

The previous prime is 12362564312143. The next prime is 12362564312159. The reversal of 12362564312153 is 35121346526321.

It is not a de Polignac number, because 12362564312153 - 2¹⁰ = 12362564311129 is a prime.

It is a super-3 number, since 3×12362564312153³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12362564312159) 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, 4122227348 + ... + 4122230346.

It is an arithmetic number, because the mean of its divisors is an integer number (154550655000).

Almost surely, 2^{12362564312153} is an apocalyptic number.

It is an amenable number.

12362564312153 is a deficient number, since it is larger than the sum of its proper divisors (2474298567847).

12362564312153 is a wasteful number, since it uses less digits than its factorization.

12362564312153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3604 counting only the distinct ones).

The product of its digits is 777600, while the sum is 44.

The spelling of 12362564312153 in words is "twelve trillion, three hundred sixty-two billion, five hundred sixty-four million, three hundred twelve thousand, one hundred fifty-three".