264170642720352 has 48 divisors (see below), whose sum is σ = 701239487019120. Its totient is φ = 87067477747712.

The previous prime is 264170642720249. The next prime is 264170642720359. The reversal of 264170642720352 is 253027246071462.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×264170642720352² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264170642720295 and 264170642720304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264170642720359) 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, 15459415773 + ... + 15459432860.

It is an arithmetic number, because the mean of its divisors is an integer number (14609155979565).

Almost surely, 2^{264170642720352} is an apocalyptic number.

It is an amenable number.

264170642720352 is an abundant number, since it is smaller than the sum of its proper divisors (437068844298768).

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

264170642720352 is a wasteful number, since it uses less digits than its factorization.

264170642720352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30918848735 (or 30918848727 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 264170642720352 in words is "two hundred sixty-four trillion, one hundred seventy billion, six hundred forty-two million, seven hundred twenty thousand, three hundred fifty-two".