864546636100 has 243 divisors, whose sum is σ = 2249204774103. Its totient is φ = 287601390720.

The previous prime is 864546636017. The next prime is 864546636119. The reversal of 864546636100 is 1636645468.

The square root of 864546636100 is 929810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 82071936324 + 782474699776 = 286482^2 + 884576^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2408207721 + ... + 2408208079.

Almost surely, 2^864546636100 is an apocalyptic number.

864546636100 is the 929810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864546636100

864546636100 is an abundant number, since it is smaller than the sum of its proper divisors (1384658138003).

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

864546636100 is a wasteful number, since it uses less digits than its factorization.

864546636100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

Multiplying 864546636100 by its sum of digits (49), we get a square (42362785168900 = 6508670²).

864546636100 divided by its sum of digits (49) gives a square (17643808900 = 132830²).

The spelling of 864546636100 in words is "eight hundred sixty-four billion, five hundred forty-six million, six hundred thirty-six thousand, one hundred".