162203736400 has 120 divisors (see below), whose sum is σ = 391627204344. Its totient is φ = 64560537600.

The previous prime is 162203736367. The next prime is 162203736449. The reversal of 162203736400 is 4637302261.

It can be written as a sum of positive squares in 12 ways, for example, as 75704220736 + 86499515664 = 275144^2 + 294108^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137343810 + ... + 137344990.

Almost surely, 2^162203736400 is an apocalyptic number.

162203736400 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 162203736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195813602172).

162203736400 is an abundant number, since it is smaller than the sum of its proper divisors (229423467944).

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

162203736400 is a wasteful number, since it uses less digits than its factorization.

162203736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 162203736400 in words is "one hundred sixty-two billion, two hundred three million, seven hundred thirty-six thousand, four hundred".