1149358024320 has 512 divisors, whose sum is σ = 4113709286400. Its totient is φ = 270585200640.

The previous prime is 1149358024291. The next prime is 1149358024351. The reversal of 1149358024320 is 234208539411.

It is a happy number.

It is a super-2 number, since 2×1149358024320² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103419084 + ... + 103430196.

It is an arithmetic number, because the mean of its divisors is an integer number (8034588450).

Almost surely, 2^{1149358024320} is an apocalyptic number.

1149358024320 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 1149358024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056854643200).

1149358024320 is an abundant number, since it is smaller than the sum of its proper divisors (2964351262080).

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

1149358024320 is a wasteful number, since it uses less digits than its factorization.

1149358024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288 (or 11276 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 1149358024320 in words is "one trillion, one hundred forty-nine billion, three hundred fifty-eight million, twenty-four thousand, three hundred twenty".