1657147268128 has 288 divisors, whose sum is σ = 3771544218624. Its totient is φ = 715309056000.

The previous prime is 1657147268053. The next prime is 1657147268167. The reversal of 1657147268128 is 8218627417561.

It is a super-2 number, since 2×1657147268128² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2872005376 + ... + 2872005952.

It is an arithmetic number, because the mean of its divisors is an integer number (13095639648).

Almost surely, 2^{1657147268128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1657147268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885772109312).

1657147268128 is an abundant number, since it is smaller than the sum of its proper divisors (2114396950496).

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

1657147268128 is a wasteful number, since it uses less digits than its factorization.

1657147268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1029 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 58.

The spelling of 1657147268128 in words is "one trillion, six hundred fifty-seven billion, one hundred forty-seven million, two hundred sixty-eight thousand, one hundred twenty-eight".