182865809952 has 480 divisors, whose sum is σ = 628476710400. Its totient is φ = 51084214272.

The previous prime is 182865809941. The next prime is 182865809957. The reversal of 182865809952 is 259908568281.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 182865809952.

It is not an unprimeable number, because it can be changed into a prime (182865809957) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161970924 + ... + 161972052.

It is an arithmetic number, because the mean of its divisors is an integer number (1309326480).

Almost surely, 2^182865809952 is an apocalyptic number.

182865809952 is a gapful number since it is divisible by the number (12) 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 182865809952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314238355200).

182865809952 is an abundant number, since it is smaller than the sum of its proper divisors (445610900448).

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

182865809952 is a wasteful number, since it uses less digits than its factorization.

182865809952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 182865809952 in words is "one hundred eighty-two billion, eight hundred sixty-five million, eight hundred nine thousand, nine hundred fifty-two".