601335689472 has 324 divisors, whose sum is σ = 2135514395196. Its totient is φ = 161703198720.

The previous prime is 601335689443. The next prime is 601335689483. The reversal of 601335689472 is 274986533106.

601335689472 is a `hidden beast` number, since 6 + 0 + 1 + 3 + 3 + 568 + 9 + 4 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180373487616 + 420962201856 = 424704^2 + 648816^2 .

It is a super-2 number, since 2×601335689472² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1762572 + ... + 2075892.

It is a 1-persistent number, because it is pandigital, but 2⋅601335689472 = 1202671378944 is not.

Almost surely, 2^601335689472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601335689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067757197598).

601335689472 is an abundant number, since it is smaller than the sum of its proper divisors (1534178705724).

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

601335689472 is a wasteful number, since it uses less digits than its factorization.

601335689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313374 (or 313350 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 601335689472 in words is "six hundred one billion, three hundred thirty-five million, six hundred eighty-nine thousand, four hundred seventy-two".