358661943120 has 320 divisors, whose sum is σ = 1273440994560. Its totient is φ = 82723897344.

The previous prime is 358661943113. The next prime is 358661943217. The reversal of 358661943120 is 21349166853.

358661943120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×358661943120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 358661943120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12025186 + ... + 12054974.

It is an arithmetic number, because the mean of its divisors is an integer number (3979503108).

Almost surely, 2^358661943120 is an apocalyptic number.

358661943120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 358661943120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636720497280).

358661943120 is an abundant number, since it is smaller than the sum of its proper divisors (914779051440).

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

358661943120 is a wasteful number, since it uses less digits than its factorization.

358661943120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30062 (or 30056 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 358661943120 in words is "three hundred fifty-eight billion, six hundred sixty-one million, nine hundred forty-three thousand, one hundred twenty".