1149988224 has 512 divisors, whose sum is σ = 4230144000. Its totient is φ = 267632640.

The previous prime is 1149988211. The next prime is 1149988237. The reversal of 1149988224 is 4228899411.

It is an interprime number because it is at equal distance from previous prime (1149988211) and next prime (1149988237).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12921172 + ... + 12921260.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^1149988224 is an apocalyptic number.

1149988224 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 1149988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115072000).

1149988224 is an abundant number, since it is smaller than the sum of its proper divisors (3080155776).

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

1149988224 is a wasteful number, since it uses less digits than its factorization.

1149988224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 1149988224 is about 33911.4762875343. The cubic root of 1149988224 is about 1047.6859770458.

It can be divided in two parts, 114 and 9988224, that multiplied together give a square (1138657536 = 33744²).

The spelling of 1149988224 in words is "one billion, one hundred forty-nine million, nine hundred eighty-eight thousand, two hundred twenty-four".