12903763968 has 520 divisors, whose sum is σ = 42815995200. Its totient is φ = 3853910016.

The previous prime is 12903763967. The next prime is 12903763969. The reversal of 12903763968 is 86936730921.

It is an interprime number because it is at equal distance from previous prime (12903763967) and next prime (12903763969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12903763967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144986068 + ... + 144986156.

Almost surely, 2^12903763968 is an apocalyptic number.

12903763968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12903763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21407997600).

12903763968 is an abundant number, since it is smaller than the sum of its proper divisors (29912231232).

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

12903763968 is an equidigital number, since it uses as much as digits as its factorization.

12903763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 12903763968 in words is "twelve billion, nine hundred three million, seven hundred sixty-three thousand, nine hundred sixty-eight".