332419416552 has 192 divisors, whose sum is σ = 926734770000. Its totient is φ = 107606016000.

The previous prime is 332419416551. The next prime is 332419416569. The reversal of 332419416552 is 255614914233.

332419416552 is a `hidden beast` number, since 3 + 3 + 2 + 4 + 1 + 94 + 1 + 6 + 552 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 187345271556 + 145074144996 = 432834^2 + 380886^2 .

It is a super-2 number, since 2×332419416552² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332419416498 and 332419416507.

It is not an unprimeable number, because it can be changed into a prime (332419416551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199171974 + ... + 199173642.

Almost surely, 2^332419416552 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 332419416552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463367385000).

332419416552 is an abundant number, since it is smaller than the sum of its proper divisors (594315353448).

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

332419416552 is a wasteful number, since it uses less digits than its factorization.

332419416552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2285 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 332419416552 in words is "three hundred thirty-two billion, four hundred nineteen million, four hundred sixteen thousand, five hundred fifty-two".