352573331604480 has 1056 divisors, whose sum is σ = 1478712349969920. Its totient is φ = 75826971279360.

The previous prime is 352573331604443. The next prime is 352573331604517. The reversal of 352573331604480 is 84406133375253.

352573331604480 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 7 + 3 + 33 + 160 + 448 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (352573331604443) and next prime (352573331604517).

It is a super-2 number, since 2×352573331604480² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28453979085 + ... + 28453991475.

Almost surely, 2^{352573331604480} is an apocalyptic number.

352573331604480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352573331604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739356174984960).

352573331604480 is an abundant number, since it is smaller than the sum of its proper divisors (1126139018365440).

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

352573331604480 is a wasteful number, since it uses less digits than its factorization.

352573331604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17635 (or 17614 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 352573331604480 in words is "three hundred fifty-two trillion, five hundred seventy-three billion, three hundred thirty-one million, six hundred four thousand, four hundred eighty".