354442262244453 has 64 divisors (see below), whose sum is σ = 561517182627840. Its totient is φ = 220183608960000.

The previous prime is 354442262244439. The next prime is 354442262244479.

354442262244453 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 4 + 2 + 2 + 622 + 4 + 4 + 4 + 5 + 3 = 666.

354442262244453 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 354442262244453 - 2⁸ = 354442262244197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 354442262244453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354442262244353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148019003 + ... + 1148327703.

It is an arithmetic number, because the mean of its divisors is an integer number (8773705978560).

Almost surely, 2^{354442262244453} is an apocalyptic number.

It is an amenable number.

354442262244453 is a deficient number, since it is larger than the sum of its proper divisors (207074920383387).

354442262244453 is a wasteful number, since it uses less digits than its factorization.

354442262244453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333595 (or 333589 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 54.

The spelling of 354442262244453 in words is "three hundred fifty-four trillion, four hundred forty-two billion, two hundred sixty-two million, two hundred forty-four thousand, four hundred fifty-three".