264456561100 has 144 divisors (see below), whose sum is σ = 616616346528. Its totient is φ = 98096578560.

The previous prime is 264456561097. The next prime is 264456561137. The reversal of 264456561100 is 1165654462.

264456561100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38418259 + ... + 38425141.

It is an arithmetic number, because the mean of its divisors is an integer number (4282057962).

Almost surely, 2^264456561100 is an apocalyptic number.

264456561100 is a gapful number since it is divisible by the number (20) 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 264456561100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308308173264).

264456561100 is an abundant number, since it is smaller than the sum of its proper divisors (352159785428).

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

264456561100 is a wasteful number, since it uses less digits than its factorization.

264456561100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 264456561100 in words is "two hundred sixty-four billion, four hundred fifty-six million, five hundred sixty-one thousand, one hundred".