358942457016 has 1152 divisors, whose sum is σ = 1299048192000. Its totient is φ = 88310476800.

The previous prime is 358942456979. The next prime is 358942457023. The reversal of 358942457016 is 610754249853.

It is a happy number.

358942457016 is a `hidden beast` number, since 3 + 58 + 9 + 4 + 2 + 4 + 570 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2286257610 + ... + 2286257766.

It is an arithmetic number, because the mean of its divisors is an integer number (1127646000).

It is a 1-persistent number, because it is pandigital, but 2⋅358942457016 = 717884914032 is not.

Almost surely, 2^358942457016 is an apocalyptic number.

358942457016 is a gapful number since it is divisible by the number (36) 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 358942457016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649524096000).

358942457016 is an abundant number, since it is smaller than the sum of its proper divisors (940105734984).

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

358942457016 is a wasteful number, since it uses less digits than its factorization.

358942457016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 358942457016 in words is "three hundred fifty-eight billion, nine hundred forty-two million, four hundred fifty-seven thousand, sixteen".