1146301632 has 280 divisors, whose sum is σ = 4012631040. Its totient is φ = 316638720.

The previous prime is 1146301627. The next prime is 1146301643. The reversal of 1146301632 is 2361036411.

1146301632 is a `hidden beast` number, since 1 + 14 + 630 + 16 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1146301596 and 1146301605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124419 + ... + 1125437.

Almost surely, 2^1146301632 is an apocalyptic number.

1146301632 is a gapful number since it is divisible by the number (12) 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 1146301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006315520).

1146301632 is an abundant number, since it is smaller than the sum of its proper divisors (2866329408).

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

1146301632 is a wasteful number, since it uses less digits than its factorization.

1146301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1146301632 is about 33857.0765424305. The cubic root of 1146301632 is about 1046.5652335654.

The spelling of 1146301632 in words is "one billion, one hundred forty-six million, three hundred one thousand, six hundred thirty-two".