1146073968 has 320 divisors, whose sum is σ = 3799756800. Its totient is φ = 328043520.

The previous prime is 1146073949. The next prime is 1146073987. The reversal of 1146073968 is 8693706411.

It is a happy number.

1146073968 is a `hidden beast` number, since 1 + 1 + 4 + 607 + 39 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1146073949) and next prime (1146073987).

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, 5048671 + ... + 5048897.

It is an arithmetic number, because the mean of its divisors is an integer number (11874240).

Almost surely, 2^1146073968 is an apocalyptic number.

1146073968 is a gapful number since it is divisible by the number (18) 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 1146073968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899878400).

1146073968 is an abundant number, since it is smaller than the sum of its proper divisors (2653682832).

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

1146073968 is a wasteful number, since it uses less digits than its factorization.

1146073968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1146073968 is about 33853.7142423103. The cubic root of 1146073968 is about 1046.4959437740.

It can be divided in two parts, 1146073 and 968, that added together give a square (1147041 = 1071²).

The spelling of 1146073968 in words is "one billion, one hundred forty-six million, seventy-three thousand, nine hundred sixty-eight".