182196338688 has 1024 divisors, whose sum is σ = 695237222400. Its totient is φ = 45864714240.

The previous prime is 182196338663. The next prime is 182196338693. The reversal of 182196338688 is 886833691281.

182196338688 is a `hidden beast` number, since 1 + 8 + 219 + 6 + 338 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×182196338688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 2495840220 + ... + 2495840292.

It is an arithmetic number, because the mean of its divisors is an integer number (678942600).

Almost surely, 2^182196338688 is an apocalyptic number.

182196338688 is a gapful number since it is divisible by the number (18) 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 182196338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347618611200).

182196338688 is an abundant number, since it is smaller than the sum of its proper divisors (513040883712).

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

182196338688 is an equidigital number, since it uses as much as digits as its factorization.

182196338688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 182196338688 in words is "one hundred eighty-two billion, one hundred ninety-six million, three hundred thirty-eight thousand, six hundred eighty-eight".