64459863116100 has 729 divisors, whose sum is σ = 213345044802981. Its totient is φ = 16278329548800.

The previous prime is 64459863116093. The next prime is 64459863116111. The reversal of 64459863116100 is 161136895446.

The square root of 64459863116100 is 8028690.

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

64459863116100 is a `hidden beast` number, since 6 + 4 + 4 + 5 + 9 + 8 + 6 + 3 + 11 + 610 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 60178837280004 + 4281025836096 = 7757502^2 + 2069064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 664534671252 + ... + 664534671348.

Almost surely, 2^{64459863116100} is an apocalyptic number.

64459863116100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64459863116100 is the 8028690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64459863116100

64459863116100 is an abundant number, since it is smaller than the sum of its proper divisors (148885181686881).

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

64459863116100 is a wasteful number, since it uses less digits than its factorization.

64459863116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 64459863116100 in words is "sixty-four trillion, four hundred fifty-nine billion, eight hundred sixty-three million, one hundred sixteen thousand, one hundred".