1157557248 has 264 divisors, whose sum is σ = 3596955648. Its totient is φ = 357654528.

The previous prime is 1157557237. The next prime is 1157557283. The reversal of 1157557248 is 8427557511.

1157557248 is a `hidden beast` number, since 1 + 1 + 5 + 75 + 572 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9114561 + ... + 9114687.

It is an arithmetic number, because the mean of its divisors is an integer number (13624832).

Almost surely, 2^1157557248 is an apocalyptic number.

1157557248 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 1157557248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798477824).

1157557248 is an abundant number, since it is smaller than the sum of its proper divisors (2439398400).

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

1157557248 is a wasteful number, since it uses less digits than its factorization.

1157557248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its digits is 392000, while the sum is 45.

The square root of 1157557248 is about 34022.8929986855. The cubic root of 1157557248 is about 1049.9795152466.

The spelling of 1157557248 in words is "one billion, one hundred fifty-seven million, five hundred fifty-seven thousand, two hundred forty-eight".