1143885600 has 648 divisors, whose sum is σ = 4821980436. Its totient is φ = 253440000.

The previous prime is 1143885539. The next prime is 1143885601. The reversal of 1143885600 is 65883411.

1143885600 is a `hidden beast` number, since 1 + 1 + 43 + 8 + 8 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 521482896 + 622402704 = 22836^2 + 24948^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1143885601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11325550 + ... + 11325650.

Almost surely, 2^1143885600 is an apocalyptic number.

1143885600 is a gapful number since it is divisible by the number (10) 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 1143885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410990218).

1143885600 is an abundant number, since it is smaller than the sum of its proper divisors (3678094836).

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

1143885600 is a wasteful number, since it uses less digits than its factorization.

1143885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1143885600 is about 33821.3778548420. The cubic root of 1143885600 is about 1045.8294430455.

The spelling of 1143885600 in words is "one billion, one hundred forty-three million, eight hundred eighty-five thousand, six hundred".