3152428658064 has 405 divisors, whose sum is σ = 10740113860203. Its totient is φ = 860595829632.

The previous prime is 3152428658021. The next prime is 3152428658081. The reversal of 3152428658064 is 4608568242513.

The square root of 3152428658064 is 1775508.

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

3152428658064 is a `hidden beast` number, since 3 + 1 + 52 + 4 + 2 + 8 + 6 + 580 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3152428658064.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3430280997 + ... + 3430281915.

Almost surely, 2^{3152428658064} is an apocalyptic number.

3152428658064 is the 1775508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3152428658064

3152428658064 is an abundant number, since it is smaller than the sum of its proper divisors (7587685202139).

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

3152428658064 is an equidigital number, since it uses as much as digits as its factorization.

3152428658064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 3152428658064 in words is "three trillion, one hundred fifty-two billion, four hundred twenty-eight million, six hundred fifty-eight thousand, sixty-four".