1146396672 has 224 divisors, whose sum is σ = 3491544960. Its totient is φ = 371589120.

The previous prime is 1146396661. The next prime is 1146396677. The reversal of 1146396672 is 2766936411.

1146396672 is a `hidden beast` number, since 1 + 1 + 4 + 639 + 6 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146396677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15704028 + ... + 15704100.

Almost surely, 2^1146396672 is an apocalyptic number.

1146396672 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 1146396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745772480).

1146396672 is an abundant number, since it is smaller than the sum of its proper divisors (2345148288).

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

1146396672 is an frugal number, since it uses more digits than its factorization.

1146396672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 1146396672 is about 33858.4800603926. The cubic root of 1146396672 is about 1046.5941563807.

The spelling of 1146396672 in words is "one billion, one hundred forty-six million, three hundred ninety-six thousand, six hundred seventy-two".