1291578048 has 392 divisors, whose sum is σ = 4264273920. Its totient is φ = 386311680.

The previous prime is 1291578011. The next prime is 1291578083. The reversal of 1291578048 is 8408751921.

It is a junction number, because it is equal to n+sod(n) for n = 1291577994 and 1291578012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27480361 + ... + 27480407.

Almost surely, 2^1291578048 is an apocalyptic number.

1291578048 is a gapful number since it is divisible by the number (18) 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 1291578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132136960).

1291578048 is an abundant number, since it is smaller than the sum of its proper divisors (2972695872).

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

1291578048 is an equidigital number, since it uses as much as digits as its factorization.

1291578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1291578048 is about 35938.5315225873. The cubic root of 1291578048 is about 1089.0309396305.

The spelling of 1291578048 in words is "one billion, two hundred ninety-one million, five hundred seventy-eight thousand, forty-eight".