12995918208 has 768 divisors, whose sum is σ = 49913740800. Its totient is φ = 3239792640.

The previous prime is 12995918203. The next prime is 12995918227. The reversal of 12995918208 is 80281959921.

12995918208 is a `hidden beast` number, since 1 + 29 + 9 + 591 + 8 + 20 + 8 = 666.

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 (12995918203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302230635 + ... + 302230677.

It is an arithmetic number, because the mean of its divisors is an integer number (64991850).

Almost surely, 2^12995918208 is an apocalyptic number.

12995918208 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 12995918208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24956870400).

12995918208 is an abundant number, since it is smaller than the sum of its proper divisors (36917822592).

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

12995918208 is a wasteful number, since it uses less digits than its factorization.

12995918208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 12995918208 in words is "twelve billion, nine hundred ninety-five million, nine hundred eighteen thousand, two hundred eight".