352645561040 has 80 divisors (see below), whose sum is σ = 848321931600. Its totient is φ = 136170295296.

The previous prime is 352645561039. The next prime is 352645561063. The reversal of 352645561040 is 40165546253.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15307628176 + 337337932864 = 123724^2 + 580808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 19230596 + ... + 19248924.

It is an arithmetic number, because the mean of its divisors is an integer number (10604024145).

Almost surely, 2^352645561040 is an apocalyptic number.

It is an amenable number.

352645561040 is an abundant number, since it is smaller than the sum of its proper divisors (495676370560).

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

352645561040 is a wasteful number, since it uses less digits than its factorization.

352645561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26664 (or 26658 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 352645561040 in words is "three hundred fifty-two billion, six hundred forty-five million, five hundred sixty-one thousand, forty".