1957458424464 has 135 divisors (see below), whose sum is σ = 5662085850057. Its totient is φ = 631270310400.

The previous prime is 1957458424447. The next prime is 1957458424487. The reversal of 1957458424464 is 4644248547591.

It is a happy number.

The square root of 1957458424464 is 1399092.

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

1957458424464 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 4 + 584 + 2 + 4 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 872527864464 + 1084930560000 = 934092^2 + 1041600^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 520460344 + ... + 520464104.

Almost surely, 2^{1957458424464} is an apocalyptic number.

1957458424464 is the 1399092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957458424464

1957458424464 is an abundant number, since it is smaller than the sum of its proper divisors (3704627425593).

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

1957458424464 is an frugal number, since it uses more digits than its factorization.

1957458424464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598 (or 3797 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 1957458424464 in words is "one trillion, nine hundred fifty-seven billion, four hundred fifty-eight million, four hundred twenty-four thousand, four hundred sixty-four".