12948164100 has 81 divisors (see below), whose sum is σ = 40596003903. Its totient is φ = 3451933440.

The previous prime is 12948164083. The next prime is 12948164107. The reversal of 12948164100 is 146184921.

The square root of 12948164100 is 113790.

It is a perfect power (a square), and thus also a powerful number.

12948164100 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 8 + 1 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2840676804 + 10107487296 = 53298^2 + 100536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12948164107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3411804 + ... + 3415596.

Almost surely, 2^12948164100 is an apocalyptic number.

12948164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12948164100 is the 113790-th square number.

It is an amenable number.

12948164100 is an abundant number, since it is smaller than the sum of its proper divisors (27647839803).

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

12948164100 is an equidigital number, since it uses as much as digits as its factorization.

12948164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 12948164100 by its sum of digits (36), we get a square (466133907600 = 682740²).

12948164100 divided by its sum of digits (36) gives a square (359671225 = 18965²).

The spelling of 12948164100 in words is "twelve billion, nine hundred forty-eight million, one hundred sixty-four thousand, one hundred".