352565360544 has 96 divisors (see below), whose sum is σ = 935532037440. Its totient is φ = 116248064000.

The previous prime is 352565360531. The next prime is 352565360591. The reversal of 352565360544 is 445063565253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 352565360493 and 352565360502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10561672 + ... + 10595000.

It is an arithmetic number, because the mean of its divisors is an integer number (9745125390).

Almost surely, 2^352565360544 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 352565360544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467766018720).

352565360544 is an abundant number, since it is smaller than the sum of its proper divisors (582966676896).

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

352565360544 is a wasteful number, since it uses less digits than its factorization.

352565360544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34534 (or 34526 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 352565360544 in words is "three hundred fifty-two billion, five hundred sixty-five million, three hundred sixty thousand, five hundred forty-four".