58164336449856 has 1120 divisors, whose sum is σ = 224554008526848. Its totient is φ = 14466231521280.

The previous prime is 58164336449851. The next prime is 58164336449887. The reversal of 58164336449856 is 65894463346185.

58164336449856 is a `hidden beast` number, since 5 + 8 + 16 + 43 + 36 + 4 + 498 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58164336449851) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 770320201 + ... + 770395703.

Almost surely, 2^{58164336449856} is an apocalyptic number.

58164336449856 is a gapful number since it is divisible by the number (56) 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 58164336449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112277004263424).

58164336449856 is an abundant number, since it is smaller than the sum of its proper divisors (166389672076992).

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

58164336449856 is a wasteful number, since it uses less digits than its factorization.

58164336449856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75641 (or 75622 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 72.

The spelling of 58164336449856 in words is "fifty-eight trillion, one hundred sixty-four billion, three hundred thirty-six million, four hundred forty-nine thousand, eight hundred fifty-six".