352365146166 has 96 divisors (see below), whose sum is σ = 787974566400. Its totient is φ = 104939524800.

The previous prime is 352365146153. The next prime is 352365146179. The reversal of 352365146166 is 661641563253.

It is an interprime number because it is at equal distance from previous prime (352365146153) and next prime (352365146179).

It is a super-2 number, since 2×352365146166² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69925075 + ... + 69930113.

It is an arithmetic number, because the mean of its divisors is an integer number (8208068400).

Almost surely, 2^352365146166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352365146166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393987283200).

352365146166 is an abundant number, since it is smaller than the sum of its proper divisors (435609420234).

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

352365146166 is a wasteful number, since it uses less digits than its factorization.

352365146166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706 (or 6695 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The spelling of 352365146166 in words is "three hundred fifty-two billion, three hundred sixty-five million, one hundred forty-six thousand, one hundred sixty-six".