663263137152 has 640 divisors, whose sum is σ = 2605729927680. Its totient is φ = 162138931200.

The previous prime is 663263137093. The next prime is 663263137153. The reversal of 663263137152 is 251731362366.

It is a happy number.

663263137152 is a `hidden beast` number, since 6 + 6 + 3 + 2 + 631 + 3 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×663263137152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 663263137098 and 663263137107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663263137153) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13547277 + ... + 13596147.

It is an arithmetic number, because the mean of its divisors is an integer number (4071453012).

Almost surely, 2^663263137152 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 663263137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302864963840).

663263137152 is an abundant number, since it is smaller than the sum of its proper divisors (1942466790528).

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

663263137152 is a wasteful number, since it uses less digits than its factorization.

663263137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48932 (or 48911 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 663263137152 in words is "six hundred sixty-three billion, two hundred sixty-three million, one hundred thirty-seven thousand, one hundred fifty-two".