264453130345824 has 576 divisors, whose sum is σ = 877332359135232. Its totient is φ = 73999178035200.

The previous prime is 264453130345823. The next prime is 264453130345847. The reversal of 264453130345824 is 428543031354462.

264453130345824 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 53 + 1 + 3 + 0 + 3 + 4 + 582 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264453130345823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42170803809 + ... + 42170810079.

It is an arithmetic number, because the mean of its divisors is an integer number (1523146456832).

Almost surely, 2^{264453130345824} is an apocalyptic number.

264453130345824 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 264453130345824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438666179567616).

264453130345824 is an abundant number, since it is smaller than the sum of its proper divisors (612879228789408).

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

264453130345824 is a wasteful number, since it uses less digits than its factorization.

264453130345824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7779 (or 7768 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 264453130345824 in words is "two hundred sixty-four trillion, four hundred fifty-three billion, one hundred thirty million, three hundred forty-five thousand, eight hundred twenty-four".