663933348153 has 48 divisors (see below), whose sum is σ = 1015021203456. Its totient is φ = 417366069120.

The previous prime is 663933348137. The next prime is 663933348157. The reversal of 663933348153 is 351843339366.

663933348153 is a `hidden beast` number, since 6 + 63 + 93 + 3 + 348 + 153 = 666.

It is not a de Polignac number, because 663933348153 - 2⁴ = 663933348137 is a prime.

It is a super-2 number, since 2×663933348153² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 663933348153.

It is not an unprimeable number, because it can be changed into a prime (663933348157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4046943 + ... + 4207803.

It is an arithmetic number, because the mean of its divisors is an integer number (21146275072).

Almost surely, 2^663933348153 is an apocalyptic number.

It is an amenable number.

663933348153 is a deficient number, since it is larger than the sum of its proper divisors (351087855303).

663933348153 is a wasteful number, since it uses less digits than its factorization.

663933348153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161174 (or 161171 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 54.

The spelling of 663933348153 in words is "six hundred sixty-three billion, nine hundred thirty-three million, three hundred forty-eight thousand, one hundred fifty-three".