1146157824 has 288 divisors, whose sum is σ = 3760960000. Its totient is φ = 308883456.

The previous prime is 1146157787. The next prime is 1146157847. The reversal of 1146157824 is 4287516411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5004942 + ... + 5005170.

Almost surely, 2^1146157824 is an apocalyptic number.

1146157824 is a gapful number since it is divisible by the number (14) 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 1146157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880480000).

1146157824 is an abundant number, since it is smaller than the sum of its proper divisors (2614802176).

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

1146157824 is an equidigital number, since it uses as much as digits as its factorization.

1146157824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 260 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 1146157824 is about 33854.9527248230. The cubic root of 1146157824 is about 1046.5214665082.

The spelling of 1146157824 in words is "one billion, one hundred forty-six million, one hundred fifty-seven thousand, eight hundred twenty-four".