1145016000 has 672 divisors, whose sum is σ = 4615403520. Its totient is φ = 279936000.

The previous prime is 1145015983. The next prime is 1145016001. The reversal of 1145016000 is 6105411.

1145016000 is a `hidden beast` number, since 1 + 14 + 50 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×1145016000² = 2622123280512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145016001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36935985 + ... + 36936015.

It is an arithmetic number, because the mean of its divisors is an integer number (6868160).

Almost surely, 2^1145016000 is an apocalyptic number.

1145016000 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 1145016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307701760).

1145016000 is an abundant number, since it is smaller than the sum of its proper divisors (3470387520).

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

1145016000 is an equidigital number, since it uses as much as digits as its factorization.

1145016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1145016000 is about 33838.0850522012. The cubic root of 1145016000 is about 1046.1738295801.

The spelling of 1145016000 in words is "one billion, one hundred forty-five million, sixteen thousand".