7923136144 has 225 divisors, whose sum is σ = 20855111151. Its totient is φ = 2905351680.

The previous prime is 7923136141. The next prime is 7923136181. The reversal of 7923136144 is 4416313297.

The square root of 7923136144 is 89012.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2458969744 + 5464166400 = 49588^2 + 73920^2 .

Its product of digits (108864) is a multiple of the sum of its prime factors (112).

It is a junction number, because it is equal to n+sod(n) for n = 7923136097 and 7923136106.

It is not an unprimeable number, because it can be changed into a prime (7923136141) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 466066824 + ... + 466066840.

Almost surely, 2^7923136144 is an apocalyptic number.

7923136144 is the 89012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7923136144

7923136144 is an abundant number, since it is smaller than the sum of its proper divisors (12931975007).

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

7923136144 is an equidigital number, since it uses as much as digits as its factorization.

7923136144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 37 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The cubic root of 7923136144 is about 1993.5740543903.

The spelling of 7923136144 in words is "seven billion, nine hundred twenty-three million, one hundred thirty-six thousand, one hundred forty-four".