1257645616704 has 63 divisors (see below), whose sum is σ = 3604891233307. Its totient is φ = 419206233984.

The previous prime is 1257645616681. The next prime is 1257645616709. The reversal of 1257645616704 is 4076165467521.

The square root of 1257645616704 is 1121448.

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

1257645616704 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 6 + 4 + 561 + 6 + 70 + 4 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257645616709) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26891389 + ... + 26938115.

Almost surely, 2^{1257645616704} is an apocalyptic number.

1257645616704 is the 1121448-th square number.

It is an amenable number.

1257645616704 is an abundant number, since it is smaller than the sum of its proper divisors (2347245616603).

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

1257645616704 is an frugal number, since it uses more digits than its factorization.

1257645616704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93472 (or 46732 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 1257645616704 in words is "one trillion, two hundred fifty-seven billion, six hundred forty-five million, six hundred sixteen thousand, seven hundred four".