601168264272 has 60 divisors (see below), whose sum is σ = 1723471229844. Its totient is φ = 195501872640.

The previous prime is 601168264271. The next prime is 601168264327. The reversal of 601168264272 is 272462861106.

601168264272 is a `hidden beast` number, since 6 + 0 + 116 + 8 + 264 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 271007701056 + 330160563216 = 520584^2 + 574596^2 .

It is a super-2 number, since 2×601168264272² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601168264271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50906043 + ... + 50917850.

Almost surely, 2^601168264272 is an apocalyptic number.

It is an amenable number.

601168264272 is an abundant number, since it is smaller than the sum of its proper divisors (1122302965572).

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

601168264272 is a wasteful number, since it uses less digits than its factorization.

601168264272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101823948 (or 101823939 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 601168264272 in words is "six hundred one billion, one hundred sixty-eight million, two hundred sixty-four thousand, two hundred seventy-two".