352783758322944 has 720 divisors, whose sum is σ = 1191464953265664. Its totient is φ = 103065119539200.

The previous prime is 352783758322901. The next prime is 352783758322993. The reversal of 352783758322944 is 449223857387253.

352783758322944 is a `hidden beast` number, since 3 + 5 + 2 + 7 + 8 + 37 + 583 + 2 + 2 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×352783758322944² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 442501959 + ... + 443298489.

Almost surely, 2^{352783758322944} 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 352783758322944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595732476632832).

352783758322944 is an abundant number, since it is smaller than the sum of its proper divisors (838681194942720).

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

352783758322944 is a wasteful number, since it uses less digits than its factorization.

352783758322944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796656 (or 796633 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 72.

The spelling of 352783758322944 in words is "three hundred fifty-two trillion, seven hundred eighty-three billion, seven hundred fifty-eight million, three hundred twenty-two thousand, nine hundred forty-four".