189161638400 has 720 divisors, whose sum is σ = 586066134456. Its totient is φ = 60114862080.

The previous prime is 189161638397. The next prime is 189161638427. The reversal of 189161638400 is 4836161981.

It can be written as a sum of positive squares in 12 ways, for example, as 221890816 + 188939747584 = 14896^2 + 434672^2 .

It is a super-3 number, since 3×189161638400³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1204851122 + ... + 1204851278.

Almost surely, 2^189161638400 is an apocalyptic number.

189161638400 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 189161638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293033067228).

189161638400 is an abundant number, since it is smaller than the sum of its proper divisors (396904496056).

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

189161638400 is a wasteful number, since it uses less digits than its factorization.

189161638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The spelling of 189161638400 in words is "one hundred eighty-nine billion, one hundred sixty-one million, six hundred thirty-eight thousand, four hundred".