1468634895 has 192 divisors, whose sum is σ = 3346237440. Its totient is φ = 601302528.

The previous prime is 1468634891. The next prime is 1468634911. The reversal of 1468634895 is 5984368641.

It is not a de Polignac number, because 1468634895 - 2² = 1468634891 is a prime.

It is a super-2 number, since 2×1468634895² = 4313776909623322050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468634891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4090726 + ... + 4091084.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^1468634895 is an apocalyptic number.

1468634895 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1468634895 is an abundant number, since it is smaller than the sum of its proper divisors (1877602545).

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

1468634895 is a wasteful number, since it uses less digits than its factorization.

1468634895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1468634895 is about 38322.7725380093. The cubic root of 1468634895 is about 1136.6792907825.

The spelling of 1468634895 in words is "one billion, four hundred sixty-eight million, six hundred thirty-four thousand, eight hundred ninety-five".