1145016320 has 208 divisors, whose sum is σ = 3223977600. Its totient is φ = 390168576.

The previous prime is 1145016263. The next prime is 1145016371. The reversal of 1145016320 is 236105411.

1145016320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1145016320² = 2622124746132684800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7024559 + ... + 7024721.

Almost surely, 2^1145016320 is an apocalyptic number.

1145016320 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 1145016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611988800).

1145016320 is an abundant number, since it is smaller than the sum of its proper divisors (2078961280).

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

1145016320 is an frugal number, since it uses more digits than its factorization.

1145016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1145016320 is about 33838.0897806008. The cubic root of 1145016320 is about 1046.1739270389.

The spelling of 1145016320 in words is "one billion, one hundred forty-five million, sixteen thousand, three hundred twenty".