352022245861248 has 384 divisors, whose sum is σ = 1064777338060800. Its totient is φ = 115748541941760.

The previous prime is 352022245861219. The next prime is 352022245861343. The reversal of 352022245861248 is 842168542220253.

352022245861248 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 2 + 2 + 2 + 4 + 586 + 12 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 352022245861194 and 352022245861203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2685671553 + ... + 2685802623.

It is an arithmetic number, because the mean of its divisors is an integer number (2772857651200).

Almost surely, 2^{352022245861248} 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 352022245861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532388669030400).

352022245861248 is an abundant number, since it is smaller than the sum of its proper divisors (712755092199552).

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

352022245861248 is a wasteful number, since it uses less digits than its factorization.

352022245861248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132272 (or 132248 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 352022245861248 in words is "three hundred fifty-two trillion, twenty-two billion, two hundred forty-five million, eight hundred sixty-one thousand, two hundred forty-eight".