1431085968 has 300 divisors, whose sum is σ = 4665448788. Its totient is φ = 420940800.

The previous prime is 1431085951. The next prime is 1431085973. The reversal of 1431085968 is 8695801341.

1431085968 is a `hidden beast` number, since 1 + 43 + 10 + 8 + 596 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21233664 + 1409852304 = 4608^2 + 37548^2 .

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 14169118 + ... + 14169218.

Almost surely, 2^1431085968 is an apocalyptic number.

1431085968 is a gapful number since it is divisible by the number (18) 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 1431085968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332724394).

1431085968 is an abundant number, since it is smaller than the sum of its proper divisors (3234362820).

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

1431085968 is a wasteful number, since it uses less digits than its factorization.

1431085968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1431085968 is about 37829.6969060023. The cubic root of 1431085968 is about 1126.9082918783.

The spelling of 1431085968 in words is "one billion, four hundred thirty-one million, eighty-five thousand, nine hundred sixty-eight".