264435105563201 has 8 divisors (see below), whose sum is σ = 264590203849608. Its totient is φ = 264280008960000.

The previous prime is 264435105563179. The next prime is 264435105563243. The reversal of 264435105563201 is 102365501534462.

It can be written as a sum of positive squares in 4 ways, for example, as 223125948634801 + 41309156928400 = 14937401^2 + 6427220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-264435105563201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264435105523201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463147301 + ... + 463717901.

It is an arithmetic number, because the mean of its divisors is an integer number (33073775481201).

Almost surely, 2^{264435105563201} is an apocalyptic number.

It is an amenable number.

264435105563201 is a deficient number, since it is larger than the sum of its proper divisors (155098286407).

264435105563201 is a wasteful number, since it uses less digits than its factorization.

264435105563201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841603.

The product of its (nonzero) digits is 2592000, while the sum is 47.

The spelling of 264435105563201 in words is "two hundred sixty-four trillion, four hundred thirty-five billion, one hundred five million, five hundred sixty-three thousand, two hundred one".