12803741664 has 192 divisors, whose sum is σ = 39575692800. Its totient is φ = 3547957248.

The previous prime is 12803741597. The next prime is 12803741707. The reversal of 12803741664 is 46614730821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10417402 + ... + 10418630.

It is an arithmetic number, because the mean of its divisors is an integer number (206123400).

Almost surely, 2^12803741664 is an apocalyptic number.

12803741664 is a gapful number since it is divisible by the number (14) 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 12803741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19787846400).

12803741664 is an abundant number, since it is smaller than the sum of its proper divisors (26771951136).

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

12803741664 is a wasteful number, since it uses less digits than its factorization.

12803741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 12803741664 in words is "twelve billion, eight hundred three million, seven hundred forty-one thousand, six hundred sixty-four".