403087851664 has 135 divisors (see below), whose sum is σ = 836906534163. Its totient is φ = 188060089536.

The previous prime is 403087851659. The next prime is 403087851667. The reversal of 403087851664 is 466158780304.

The square root of 403087851664 is 634892.

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

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (403087851667) 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 26 ways as a sum of consecutive naturals, for example, 3913474237 + ... + 3913474339.

Almost surely, 2^403087851664 is an apocalyptic number.

403087851664 is the 634892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403087851664

403087851664 is an abundant number, since it is smaller than the sum of its proper divisors (433818682499).

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

403087851664 is an equidigital number, since it uses as much as digits as its factorization.

403087851664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 403087851664 in words is "four hundred three billion, eighty-seven million, eight hundred fifty-one thousand, six hundred sixty-four".