1146379680 has 144 divisors (see below), whose sum is σ = 4007642184. Its totient is φ = 298229760.

The previous prime is 1146379667. The next prime is 1146379691. The reversal of 1146379680 is 869736411.

It is a happy number.

1146379680 is a `hidden beast` number, since 1 + 1 + 4 + 637 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 223921296 + 922458384 = 14964^2 + 30372^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49332 + ... + 68748.

Almost surely, 2^1146379680 is an apocalyptic number.

1146379680 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 1146379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003821092).

1146379680 is an abundant number, since it is smaller than the sum of its proper divisors (2861262504).

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

1146379680 is a wasteful number, since it uses less digits than its factorization.

1146379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19479 (or 19468 counting only the distinct ones).

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

The square root of 1146379680 is about 33858.2291326643. The cubic root of 1146379680 is about 1046.5889854492.

The spelling of 1146379680 in words is "one billion, one hundred forty-six million, three hundred seventy-nine thousand, six hundred eighty".