182009292001900 has 144 divisors (see below), whose sum is σ = 441141432141312. Its totient is φ = 64613827872000.

The previous prime is 182009292001877. The next prime is 182009292001903. The reversal of 182009292001900 is 9100292900281.

It is a super-2 number, since 2×182009292001900² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (182009292001903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16091035 + ... + 24958765.

It is an arithmetic number, because the mean of its divisors is an integer number (3063482167648).

Almost surely, 2^{182009292001900} is an apocalyptic number.

182009292001900 is a gapful number since it is divisible by the number (10) 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 182009292001900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220570716070656).

182009292001900 is an abundant number, since it is smaller than the sum of its proper divisors (259132140139412).

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

182009292001900 is a wasteful number, since it uses less digits than its factorization.

182009292001900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868200 (or 8868193 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 182009292001900 in words is "one hundred eighty-two trillion, nine billion, two hundred ninety-two million, one thousand, nine hundred".