1577139128946 has 96 divisors (see below), whose sum is σ = 3700169806320. Its totient is φ = 483691364352.

The previous prime is 1577139128933. The next prime is 1577139128947. The reversal of 1577139128946 is 6498219317751.

1577139128946 is a `hidden beast` number, since 1 + 577 + 1 + 3 + 9 + 12 + 8 + 9 + 46 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 360673514721 + 1216465614225 = 600561^2 + 1102935^2 .

It is not an unprimeable number, because it can be changed into a prime (1577139128947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2211790 + ... + 2836598.

Almost surely, 2^{1577139128946} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1577139128946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850084903160).

1577139128946 is an abundant number, since it is smaller than the sum of its proper divisors (2123030677374).

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

1577139128946 is a wasteful number, since it uses less digits than its factorization.

1577139128946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625020 (or 625017 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 1577139128946 in words is "one trillion, five hundred seventy-seven billion, one hundred thirty-nine million, one hundred twenty-eight thousand, nine hundred forty-six".