1146778560 has 280 divisors, whose sum is σ = 4120322976. Its totient is φ = 302745600.

The previous prime is 1146778559. The next prime is 1146778561. The reversal of 1146778560 is 658776411.

1146778560 is a `hidden beast` number, since 1 + 14 + 6 + 7 + 78 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1146778559) and next prime (1146778561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146778561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3913774 + ... + 3914066.

Almost surely, 2^1146778560 is an apocalyptic number.

1146778560 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 1146778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060161488).

1146778560 is an abundant number, since it is smaller than the sum of its proper divisors (2973544416).

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

1146778560 is a wasteful number, since it uses less digits than its factorization.

1146778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1146778560 is about 33864.1190642840. The cubic root of 1146778560 is about 1046.7103573974.

The spelling of 1146778560 in words is "one billion, one hundred forty-six million, seven hundred seventy-eight thousand, five hundred sixty".