182300214816 has 480 divisors, whose sum is σ = 590393422080. Its totient is φ = 54925516800.

The previous prime is 182300214809. The next prime is 182300214827. The reversal of 182300214816 is 618412003281.

It is a super-3 number, since 3×182300214816³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 422970121 + ... + 422970551.

It is an arithmetic number, because the mean of its divisors is an integer number (1229986296).

Almost surely, 2^182300214816 is an apocalyptic number.

182300214816 is a gapful number since it is divisible by the number (16) 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 182300214816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295196711040).

182300214816 is an abundant number, since it is smaller than the sum of its proper divisors (408093207264).

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

182300214816 is a wasteful number, since it uses less digits than its factorization.

182300214816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 182300214816 in words is "one hundred eighty-two billion, three hundred million, two hundred fourteen thousand, eight hundred sixteen".