1468129536 has 180 divisors, whose sum is σ = 4427346924. Its totient is φ = 483840000.

The previous prime is 1468129529. The next prime is 1468129541. The reversal of 1468129536 is 6359218641.

1468129536 is a `hidden beast` number, since 14 + 6 + 81 + 29 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1348358400 + 119771136 = 36720^2 + 10944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1468129491 and 1468129500.

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 19 ways as a sum of consecutive naturals, for example, 2093986 + ... + 2094686.

Almost surely, 2^1468129536 is an apocalyptic number.

1468129536 is a gapful number since it is divisible by the number (16) 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 1468129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213673462).

1468129536 is an abundant number, since it is smaller than the sum of its proper divisors (2959217388).

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

1468129536 is an equidigital number, since it uses as much as digits as its factorization.

1468129536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 807 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1468129536 is about 38316.1785150868. The cubic root of 1468129536 is about 1136.5488982636.

The spelling of 1468129536 in words is "one billion, four hundred sixty-eight million, one hundred twenty-nine thousand, five hundred thirty-six".