406651086864 has 135 divisors (see below), whose sum is σ = 1251182521407. Its totient is φ = 123202094400.

The previous prime is 406651086823. The next prime is 406651086889. The reversal of 406651086864 is 468680156604.

The square root of 406651086864 is 637692.

It is a perfect power (a square), and thus also a powerful number.

406651086864 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 510 + 8 + 68 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 406651086864.

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 26 ways as a sum of consecutive naturals, for example, 84172929 + ... + 84177759.

Almost surely, 2^406651086864 is an apocalyptic number.

406651086864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

406651086864 is the 637692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406651086864

406651086864 is an abundant number, since it is smaller than the sum of its proper divisors (844531434543).

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

406651086864 is an equidigital number, since it uses as much as digits as its factorization.

406651086864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9698 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 406651086864 in words is "four hundred six billion, six hundred fifty-one million, eighty-six thousand, eight hundred sixty-four".