1157100048 has 240 divisors, whose sum is σ = 3651321856. Its totient is φ = 339655680.

The previous prime is 1157100023. The next prime is 1157100059. The reversal of 1157100048 is 8400017511.

It is a junction number, because it is equal to n+sod(n) for n = 1157099994 and 1157100030.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7369986 + ... + 7370142.

Almost surely, 2^1157100048 is an apocalyptic number.

1157100048 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 1157100048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825660928).

1157100048 is an abundant number, since it is smaller than the sum of its proper divisors (2494221808).

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

1157100048 is a wasteful number, since it uses less digits than its factorization.

1157100048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1157100048 is about 34016.1733297560. The cubic root of 1157100048 is about 1049.8412603566.

Adding to 1157100048 its reverse (8400017511), we get a palindrome (9557117559).

The spelling of 1157100048 in words is "one billion, one hundred fifty-seven million, one hundred thousand, forty-eight".