1146349512 has 288 divisors, whose sum is σ = 3990729600. Its totient is φ = 293932800.

The previous prime is 1146349511. The next prime is 1146349537. The reversal of 1146349512 is 2159436411.

It is a happy number.

1146349512 is a `hidden beast` number, since 1 + 1 + 4 + 634 + 9 + 5 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1146349511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4229937 + ... + 4230207.

It is an arithmetic number, because the mean of its divisors is an integer number (13856700).

Almost surely, 2^1146349512 is an apocalyptic number.

1146349512 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 1146349512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995364800).

1146349512 is an abundant number, since it is smaller than the sum of its proper divisors (2844380088).

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

1146349512 is a wasteful number, since it uses less digits than its factorization.

1146349512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1146349512 is about 33857.7836250396. The cubic root of 1146349512 is about 1046.5798047290.

The spelling of 1146349512 in words is "one billion, one hundred forty-six million, three hundred forty-nine thousand, five hundred twelve".