358379482374144 has 1344 divisors, whose sum is σ = 1330655716615680. Its totient is φ = 90248168079360.

The previous prime is 358379482374139. The next prime is 358379482374169. The reversal of 358379482374144 is 441473284973853.

358379482374144 is a `hidden beast` number, since 3 + 5 + 8 + 3 + 79 + 48 + 2 + 374 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×358379482374144³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24451072864 + ... + 24451087520.

It is an arithmetic number, because the mean of its divisors is an integer number (990071217720).

Almost surely, 2^{358379482374144} 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 358379482374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665327858307840).

358379482374144 is an abundant number, since it is smaller than the sum of its proper divisors (972276234241536).

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

358379482374144 is a wasteful number, since it uses less digits than its factorization.

358379482374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14839 (or 14812 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 72.

The spelling of 358379482374144 in words is "three hundred fifty-eight trillion, three hundred seventy-nine billion, four hundred eighty-two million, three hundred seventy-four thousand, one hundred forty-four".