358642166448384 has 1296 divisors, whose sum is σ = 1362946774180992. Its totient is φ = 92029842358272.

The previous prime is 358642166448353. The next prime is 358642166448431. The reversal of 358642166448384 is 483844661246853.

358642166448384 is a `hidden beast` number, since 3 + 5 + 8 + 6 + 4 + 2 + 1 + 6 + 64 + 483 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×358642166448384² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2722840512 + ... + 2722972224.

Almost surely, 2^{358642166448384} 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 358642166448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681473387090496).

358642166448384 is an abundant number, since it is smaller than the sum of its proper divisors (1004304607732608).

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

358642166448384 is a wasteful number, since it uses less digits than its factorization.

358642166448384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131814 (or 131775 counting only the distinct ones).

The product of its digits is 2548039680, while the sum is 72.

The spelling of 358642166448384 in words is "three hundred fifty-eight trillion, six hundred forty-two billion, one hundred sixty-six million, four hundred forty-eight thousand, three hundred eighty-four".