352063466496 has 1056 divisors, whose sum is σ = 1279623260160. Its totient is φ = 95219712000.

The previous prime is 352063466479. The next prime is 352063466501. The reversal of 352063466496 is 694664360253.

352063466496 is a `hidden beast` number, since 3 + 5 + 206 + 346 + 6 + 4 + 96 = 666.

It is a super-2 number, since 2×352063466496² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 3485776846 + ... + 3485776946.

Almost surely, 2^352063466496 is an apocalyptic number.

352063466496 is a gapful number since it is divisible by the number (36) 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 352063466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639811630080).

352063466496 is an abundant number, since it is smaller than the sum of its proper divisors (927559793664).

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

352063466496 is a wasteful number, since it uses less digits than its factorization.

352063466496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 352063466496 in words is "three hundred fifty-two billion, sixty-three million, four hundred sixty-six thousand, four hundred ninety-six".