6402145652133 has 384 divisors, whose sum is σ = 11723450941440. Its totient is φ = 3067243200000.

The previous prime is 6402145652131. The next prime is 6402145652141. The reversal of 6402145652133 is 3312565412046.

It is not a de Polignac number, because 6402145652133 - 2¹ = 6402145652131 is a prime.

It is a super-2 number, since 2×6402145652133² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6402145652131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25506556258 + ... + 25506556508.

It is an arithmetic number, because the mean of its divisors is an integer number (30529820160).

Almost surely, 2^{6402145652133} is an apocalyptic number.

It is an amenable number.

6402145652133 is a deficient number, since it is larger than the sum of its proper divisors (5321305289307).

6402145652133 is a wasteful number, since it uses less digits than its factorization.

6402145652133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 6402145652133 in words is "six trillion, four hundred two billion, one hundred forty-five million, six hundred fifty-two thousand, one hundred thirty-three".