264996146304 has 192 divisors, whose sum is σ = 789983700480. Its totient is φ = 85175193600.

The previous prime is 264996146269. The next prime is 264996146309. The reversal of 264996146304 is 403641699462.

264996146304 is a `hidden beast` number, since 2 + 6 + 499 + 6 + 146 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (264996146309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10021869 + ... + 10048275.

It is an arithmetic number, because the mean of its divisors is an integer number (4114498440).

Almost surely, 2^264996146304 is an apocalyptic number.

264996146304 is a gapful number since it is divisible by the number (24) 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 264996146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394991850240).

264996146304 is an abundant number, since it is smaller than the sum of its proper divisors (524987554176).

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

264996146304 is a wasteful number, since it uses less digits than its factorization.

264996146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26739 (or 26724 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 264996146304 in words is "two hundred sixty-four billion, nine hundred ninety-six million, one hundred forty-six thousand, three hundred four".