64512233100 has 432 divisors, whose sum is σ = 247049187840. Its totient is φ = 13759257600.

The previous prime is 64512233057. The next prime is 64512233101. The reversal of 64512233100 is 133221546.

64512233100 is a `hidden beast` number, since 645 + 1 + 2 + 2 + 3 + 3 + 10 + 0 = 666.

It is a super-2 number, since 2×64512233100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64512233101) 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 143 ways as a sum of consecutive naturals, for example, 5935471 + ... + 5946329.

It is an arithmetic number, because the mean of its divisors is an integer number (571873120).

Almost surely, 2^64512233100 is an apocalyptic number.

64512233100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64512233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123524593920).

64512233100 is an abundant number, since it is smaller than the sum of its proper divisors (182536954740).

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

64512233100 is a wasteful number, since it uses less digits than its factorization.

64512233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 64512233100 its reverse (133221546), we get a palindrome (64645454646).

The spelling of 64512233100 in words is "sixty-four billion, five hundred twelve million, two hundred thirty-three thousand, one hundred".