1257155648 has 112 divisors (see below), whose sum is σ = 2969776128. Its totient is φ = 516672000.

The previous prime is 1257155633. The next prime is 1257155659. The reversal of 1257155648 is 8465517521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1257155599 and 1257155608.

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, 1818983 + ... + 1819673.

Almost surely, 2^1257155648 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 1257155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484888064).

1257155648 is an abundant number, since it is smaller than the sum of its proper divisors (1712620480).

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

1257155648 is a wasteful number, since it uses less digits than its factorization.

1257155648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its digits is 336000, while the sum is 44.

The square root of 1257155648 is about 35456.3907920702. The cubic root of 1257155648 is about 1079.2689519986.

The spelling of 1257155648 in words is "one billion, two hundred fifty-seven million, one hundred fifty-five thousand, six hundred forty-eight".