1257647945472 has 144 divisors (see below), whose sum is σ = 3723699924000. Its totient is φ = 418695929856.

The previous prime is 1257647945443. The next prime is 1257647945473. The reversal of 1257647945472 is 2745497467521.

1257647945472 is a `hidden beast` number, since 1 + 2 + 5 + 76 + 4 + 7 + 94 + 5 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257647945473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5479354 + ... + 5704262.

It is an arithmetic number, because the mean of its divisors is an integer number (25859027250).

Almost surely, 2^{1257647945472} is an apocalyptic number.

1257647945472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257647945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861849962000).

1257647945472 is an abundant number, since it is smaller than the sum of its proper divisors (2466051978528).

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

1257647945472 is an equidigital number, since it uses as much as digits as its factorization.

1257647945472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225743 (or 225723 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 1257647945472 in words is "one trillion, two hundred fifty-seven billion, six hundred forty-seven million, nine hundred forty-five thousand, four hundred seventy-two".