1257342645632 has 128 divisors (see below), whose sum is σ = 2704138719840. Its totient is φ = 580120772608.

The previous prime is 1257342645617. The next prime is 1257342645703. The reversal of 1257342645632 is 2365462437521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219927638 + ... + 219933354.

Almost surely, 2^{1257342645632} 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 1257342645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352069359920).

1257342645632 is an abundant number, since it is smaller than the sum of its proper divisors (1446796074208).

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

1257342645632 is a wasteful number, since it uses less digits than its factorization.

1257342645632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7696 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 50.

The spelling of 1257342645632 in words is "one trillion, two hundred fifty-seven billion, three hundred forty-two million, six hundred forty-five thousand, six hundred thirty-two".