353512040544 has 72 divisors (see below), whose sum is σ = 1082630635632. Its totient is φ = 108772934400.

The previous prime is 353512040503. The next prime is 353512040551. The reversal of 353512040544 is 445040215353.

353512040544 is a `hidden beast` number, since 3 + 5 + 3 + 51 + 20 + 40 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 353512040499 and 353512040508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47206732 + ... + 47214219.

It is an arithmetic number, because the mean of its divisors is an integer number (15036536606).

Almost surely, 2^353512040544 is an apocalyptic number.

It is an amenable number.

353512040544 is an abundant number, since it is smaller than the sum of its proper divisors (729118595088).

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

353512040544 is a wasteful number, since it uses less digits than its factorization.

353512040544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94420980 (or 94420969 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 353512040544 its reverse (445040215353), we get a palindrome (798552255897).

The spelling of 353512040544 in words is "three hundred fifty-three billion, five hundred twelve million, forty thousand, five hundred forty-four".