354163481680 has 40 divisors (see below), whose sum is σ = 823464997992. Its totient is φ = 141659387904.

The previous prime is 354163481653. The next prime is 354163481689. The reversal of 354163481680 is 86184361453.

It can be written as a sum of positive squares in 4 ways, for example, as 46102960656 + 308060521024 = 214716^2 + 555032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354163481689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2133852 + ... + 2293828.

Almost surely, 2^354163481680 is an apocalyptic number.

It is an amenable number.

354163481680 is an abundant number, since it is smaller than the sum of its proper divisors (469301516312).

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

354163481680 is a wasteful number, since it uses less digits than its factorization.

354163481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187663 (or 187657 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 354163481680 in words is "three hundred fifty-four billion, one hundred sixty-three million, four hundred eighty-one thousand, six hundred eighty".