469086382080 has 144 divisors (see below), whose sum is σ = 1625769430740. Its totient is φ = 125089677312.

The previous prime is 469086382067. The next prime is 469086382103. The reversal of 469086382080 is 80283680964.

469086382080 is a `hidden beast` number, since 469 + 0 + 86 + 3 + 8 + 20 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 451713033216 + 17373348864 = 672096^2 + 131808^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2452797 + ... + 2637116.

Almost surely, 2^469086382080 is an apocalyptic number.

469086382080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

469086382080 is an abundant number, since it is smaller than the sum of its proper divisors (1156683048660).

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

469086382080 is a wasteful number, since it uses less digits than its factorization.

469086382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089946 (or 5089923 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 469086382080 in words is "four hundred sixty-nine billion, eighty-six million, three hundred eighty-two thousand, eighty".