12948911696 has 120 divisors (see below), whose sum is σ = 31327001640. Its totient is φ = 5151154176.

The previous prime is 12948911693. The next prime is 12948911741. The reversal of 12948911696 is 69611984921.

It can be written as a sum of positive squares in 4 ways, for example, as 642115600 + 12306796096 = 25340^2 + 110936^2 .

It is a super-2 number, since 2×12948911696² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12948911693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966290 + ... + 979598.

It is an arithmetic number, because the mean of its divisors is an integer number (261058347).

Almost surely, 2^12948911696 is an apocalyptic number.

12948911696 is a gapful number since it is divisible by the number (16) 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 12948911696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663500820).

12948911696 is an abundant number, since it is smaller than the sum of its proper divisors (18378089944).

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

12948911696 is a wasteful number, since it uses less digits than its factorization.

12948911696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13421 (or 13408 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 56.

The spelling of 12948911696 in words is "twelve billion, nine hundred forty-eight million, nine hundred eleven thousand, six hundred ninety-six".